148

Number
$148$ (one hundred and forty-eight) is:


 * $2^2 \times 37$


 * The $4$th term of the $3$rd $5$-tuple of consecutive integers have the property that they are not values of the $\sigma$ function $\map \sigma n$ for any $n$:
 * $\tuple {145, 146, 147, 148, 149}$


 * The $2$nd of the $5$th pair of consecutive integers which both have $6$ divisors:
 * $\map \tau {147} = \map \tau {148} = 6$


 * The $8$th heptagonal number after $1$, $7$, $18$, $34$, $55$, $81$, $112$:
 * $148 = 1 + 7 + 11 + 16 + 21 + 26 + 31 + 36 = \dfrac {8 \paren {5 \times 8 - 3} } 2$


 * The $8$th of the $17$ positive integers for which the value of the Euler $\phi$ function is $72$:
 * $73$, $91$, $95$, $111$, $117$, $135$, $146$, $148$, $152$, $182$, $190$, $216$, $222$, $228$, $234$, $252$, $270$


 * The smallest positive integer which can be expressed as the sum of $2$ distinct lucky numbers in $10$ different ways