148

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


 * $2^2 \times 37$


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


 * 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 $\sigma \left({n}\right)$ for any $n$:
 * $\left({145, 146, 147, 148, 149}\right)$


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


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