135 (number)

135 (one hundred [and] thirty-five) is the natural number following 134 and preceding 136.

In mathematics[]

This number in base 10 can be expressed in operations using its own digits in at least two different ways. One is as a sum-product number,

${\displaystyle 135=(1+3+5)(1\times 3\times 5)}$

(1 and 144 share this property)^[1] and the other is as the sum of consecutive powers of its digits:^[2]

${\displaystyle 135=1^{1}+3^{2}+5^{3}}$

(175, 518, and 598 also have this property).

135 is a Harshad number.^[3]

There are a total of 135 primes between 1,000 and 2,000.

${\displaystyle 135=11n^{2}+11n+3}$ for ${\displaystyle n=3}$. This polynomial plays an essential role in Apéry's proof that ${\displaystyle \zeta (3)}$ is irrational.

In the military[]

• KC-135 Stratotanker is a United States Air Force United States aerial refueling tanker aircraft in service since 1957
• OC-135B Open Skies United States Air Force observation aircraft supports the flies unarmed observation flights over nations of the Treaty on Open Skies
• United States Air Force C-135 derived from the Boeing 707 jetliner
• USNS Mission Solano (AO-135) was a Mission Buenaventura-class fleet oiler during World War II
• USS Bosque (APA-135) was a United States Navy Haskell-class attack transport during World War II
• USS Flaherty (DE-135) was a United States Navy Edsall-class destroyer escort during World War II
• USS General W. M. Black (AP-135) was a United States Navy General G. O. Squier-class transport ship during World War II
• USS Los Angeles (CA-135) was a Baltimore-class cruiser during World War II
• USS Merganser (AM-135) was a United States Navy Hawk-class minesweeper during World War II
• USS S-30 (SS-135) was an S-class submarine of the United States Navy during World War II
• USS Tillman (DD-135) was a United States Navy Wickes-class destroyer
• USS Venus (AK-135) was a United States Navy Crater-class cargo ship during World War II
• USS Weiss (APD-135) was a United States Navy Crosley-class high-speed transport ship during the Battle of Guadalcanal
• Electronic Attack Squadron 135 (VAQ-135) is a United States Navy electronic attack squadron stationed at Naval Air Station Whidbey Island, in Oak Harbor, Washington

In transportation[]

• London Buses route 135 is a Transport for London contracted bus route in London
• 135th Street station on the IND Eighth Avenue Line of the New York City Subway on St. Nicholas Avenue in Manhattan
• 135th Street station on the IRT Lenox Avenue Line of the New York City Subway on Lenox Avenue in Manhattan

In other fields[]

• The year AD 135 or 135 BC
• 135 AH is a year in the Islamic calendar that corresponds to 752–753 CE
• 135 Hertha is a large main belt asteroid which orbits among the Nysa asteroid family
• 135 film, the cartridge version of 35mm photographic film, used widely in still photography
• The Canon FD 135 mm lens
• In astrology, when two planets are 135 degrees apart, they are in an astrological aspect called a sesquiquadrate. The aspect was first used by Johannes Kepler
• Sonnet 135 by William Shakespeare
• Municipal District of Peace No. 135, a municipal district in northwest Alberta, Canada
• Enoch Cree Nation 135 Indian reserve in Alberta, Canada is home to the Enoch Cree Nation
• The EZ 135 Drive removable hard disk drive introduced by SyQuest Technology in 1995

See also[]

Wikimedia Commons has media related to 135 (number).

• List of highways numbered 135
• United Nations Security Council Resolution 135
• United States Supreme Court cases, Volume 135

References[]