Wednesday, February 8, 2012

135

135 = 3 x 3 x 3 x 5.

135 is the smallest number with exactly seven representations as a sum of four positive squares: 135 = 12 + 22 + 32 + 112 = 12 + 22 + 72 + 92 = 12 + 32 + 52 + 102 = 12 + 62 + 72 + 72 = 22 + 52 + 52 + 92 = 32 + 32 + 62 + 92 = 52 + 52 + 62 + 72.

135 is the number of integer partitions of 14.

135 is 99 in base 14.

135 = (1 + 3 + 5)(1 x 3 x 5).

135 is the smallest three digit number that is the sum of its first digit and the square of its second digit and the cube of its third digit: 135 = 11 + 32 + 53.


The term 135 (ISO 2007) was introduced by Kodak in 1934 as a designation for cartridge film 35 millimeters wide, specifically for still photography.

Source: Number Gossip

No comments: