195

Number
$195$ (one hundred and ninety-five) is:


 * $3 \times 5 \times 13$


 * With $140$, an element of the $2$nd quasiamicable pair:
 * $\map \sigma {140} = \map \sigma {195} = 336 = 140 + 195 + 1$


 * The $9$th inconsummate number after $62$, $63$, $65$, $75$, $84$, $95$, $161$, $173$:
 * $\nexists n \in \Z_{>0}: n = 195 \times \map {s_{10} } n$


 * The $19$th sphenic number after $30$, $42$, $66$, $70$, $78$, $102$, $105$, $110$, $114$, $130$, $138$, $154$, $165$, $170$, $174$, $182$, $186$, $190$:
 * $195 = 3 \times 5 \times 13$


 * The $38$th lucky number:
 * $1$, $3$, $7$, $9$, $13$, $15$, $21$, $\ldots$, $133$, $135$, $141$, $151$, $159$, $163$, $169$, $171$, $189$, $193$, $195$, $\ldots$