# 144 number

 Template:Numbers 100-200 Cardinal One hundred [and] forty four Ordinal 144th Factorization ${\displaystyle 2^{4}\cdot 3^{2}}$ Divisors 2, 3, 4, 6, 8, 9, 12, 16,18, 24, 36, 48, 72 Roman numeral CXLIV Binary 10010000 Octal 220 Duodecimal 100 Hexadecimal 90

144 is the natural number following 143 and preceding 145. 144 is a dozen dozens, or one gross.

It is the twelfth Fibonacci number, and the largest one to also be a square, as the square of 12 (which is also its index in the Fibonacci sequence), following 121 and preceding 169.

144 is the smallest number with exactly 15 divisors.

144 is a number that is divisible by the value of its φ function, which returns 48 in this case. Also, there are 21 solutions to the equation φ(x) = 144, more than any integer below 144, making it a highly totient number.

${\displaystyle 144^{5}=27^{5}+84^{5}+110^{5}+133^{5}}$, the smallest number whose fifth power is a sum of less than five (smaller) fifth powers. This solution was found in 1967 by L.J. Lander and T.R. Parkin, and disproved a conjecture by Euler.

144 is also:

• The measurement, in cubits, of the wall of New Jerusalem shown by the seventh angel (Holy Bible, Revelation 21:17).
• The Intel 8086 instruction for no operation (NOP).

For the year AD 144, see 144.