137

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Number

$137$ (one hundred and thirty-seven) 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.