153

Number
$153$ (one hundred and fifty-three) is:


 * $3^2 \times 17$


 * The sum of the first $5$ factorials:
 * $153 = 1! + 2! + 3! + 4! + 5!$


 * The $9$th hexagonal number after $1$, $6$, $15$, $28$, $45$, $66$, $91$, $120$:
 * $153 = 1 + 5 + 9 + 13 + 17 + 21 + 25 + 29 + 33 = 9 \paren {2 \times 9 - 1}$


 * The $10$th pluperfect digital invariant after $1$, $2$, $3$, $4$, $5$, $6$, $7$, $8$, $9$, and the $1$st non-trivial one:
 * $1^3 + 5^3 + 3^3 = 1 + 125 + 27 = 153$


 * The $17$th triangular number after $1$, $3$, $6$, $10$, $15$, $21$, $28$, $36$, $45$, $55$, $66$, $78$, $91$, $105$, $120$, $136$:
 * $153 = \displaystyle \sum_{k \mathop = 1}^{17} k = \dfrac {17 \times \paren {17 + 1} } 2$


 * The $29$th positive integer $n$ such that no factorial of an integer can end with $n$ zeroes.

Also see

 * Repeated Sum of Cubes of Digits of Multiple of 3