137

Number
$137$ is:
 * The $33$rd prime number


 * The $1$st of the $11$th pair of twin primes, with $139$


 * The $4$th Stern number after $1, 3, 17$.


 * The $57$th positive integer after $2$, $3$, $4$, $7$, $8$, $\ldots$, $95$, $96$, $100$, $101$, $102$, $107$, $112$, $116$, $124$, $136$ which cannot be expressed as the sum of distinct pentagonal numbers.