144 (number)

Template:Infobox number 144 (one hundred [and] forty-four) is the natural number following 143 and preceding 145. It is coincidentally both the square of twelve (a dozen dozens, or one gross) and the twelfth Fibonacci number, and the only nontrivial number in the sequence that is square.<ref>Bryan Bunch, The Kingdom of Infinite Number. New York: W. H. Freeman & Company (2000): 165</ref><ref>Template:Cite journal</ref>

Mathematics

144 is a highly totient number.<ref>Template:Cite OEIS</ref>

144 is the smallest number whose fifth power is a sum of four (smaller) fifth powers. This solution was found in 1966 by L. J. Lander and T. R. Parkin, and disproved Euler's sum of powers conjecture. It was famously published in a paper by both authors, whose body consisted of only two sentences:<ref>Template:Cite journal</ref>

A direct search on the CDC 6600 yielded
27⁵ + 84⁵ + 10⁵ + 133⁵ = 144⁵
as the smallest instance in which four fifth powers sum to a fifth power. This is a counterexample to a conjecture by Euler that at least n nth powers are required to sum to an nth power, n > 2.{{#if:|

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144 is a square. (12²=144)

144° is two-fifths of a full turn.

The image shows 2 separate circles, both representing 2/5ths of a circle. The right circle first divides the circle with black lines into 5 and shades 2 of the parts. The left circle shows the same devided circle without black lines.

Two-fifths of a circle.