125

Number
$125$ (one hundred and twenty-five) is:


 * $5^3$


 * The $5$th cube number after $1, 8, 27, 64$:
 * $125 = 5 \times 5 \times 5$


 * The $13$th trimorphic number after $1, 4, 5, 6, 9, 24, 25, 49, 51, 75, 76, 99$:
 * $125^3 = 1 \, 953 \, \mathbf {125}$


 * The $17$th powerful number after $1, 4, 8, 9, 16, 25, 27, 32, 36, 49, 64, 72, 81, 100, 108, 121$


 * The length of the shortest face diagonal of the smallest cuboid whose edges and the diagonals of whose faces are all integers:
 * The lengths of the edges are $44, 117, 240$
 * The lengths of the diagonals of the faces are $125, 244, 267$.

Also see

 * Cuboid with Integer Edges and Face Diagonals