136

Number
$136$ (one hundred and thirty-six) is:
 * $2^3 \times 17$


 * The $2$nd of the $4$ cubic recurring digital invariants after $55$:
 * $136 \to 244 \to 136$


 * The total of all the entries in a magic square of order $4$, after $1$, $(10)$, $45$:
 * $136 = \displaystyle \sum_{k \mathop = 1}^{4^2} k = \dfrac {4^2 \paren {4^2 + 1} } 2$


 * The smallest positive integer which can be expressed as the sum of $2$ distinct lucky numbers in $12$ different ways


 * The $16$th triangular number after $1$, $3$, $6$, $10$, $15$, $21$, $28$, $36$, $45$, $55$, $66$, $78$, $91$, $105$, $120$:
 * $136 = \displaystyle \sum_{k \mathop = 1}^{16} k = \dfrac {16 \times \paren {16 + 1} } 2$


 * The $56$th positive integer after $2$, $3$, $4$, $7$, $8$, $\ldots$, $95$, $96$, $100$, $101$, $102$, $107$, $112$, $116$, $124$ which cannot be expressed as the sum of distinct pentagonal numbers.