147

Number
$147$ (one hundred and forty-seven) is:


 * $3 \times 7^2$


 * The $3$rd term of the $3$rd $5$-tuple of consecutive integers have the property that they are not values of the $\sigma$ function $\sigma \left({n}\right)$ for any $n$:
 * $\left({145, 146, 147, 148, 149}\right)$


 * The $1$st of the $5$th pair of consecutive integers which both have $6$ divisors:
 * $\tau \left({147}\right) = \tau \left({148}\right) = 6$


 * The $60$th positive integer after $2$, $3$, $4$, $7$, $8$, $\ldots$, $95$, $96$, $100$, $101$, $102$, $107$, $112$, $116$, $124$, $136$, $137$, $141$, $142$ which cannot be expressed as the sum of distinct pentagonal numbers.


 * The number of different representations of $1$ as the sum of $5$ unit fractions.


 * The $28$th positive integer $n$ such that no factorial of an integer can end with $n$ zeroes.