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137190131196 = 22388312947351
BaseRepresentation
bin111111111000100101…
…0110100010111111100
3111010010000102202101020
41333301022310113330
54221431133144241
6143005124344140
712624461605656
oct1776112642774
9433100382336
10137190131196
1153200286118
1222708845050
13cc246bab31
1468d63996d6
15387e1d7b66
hex1ff12b45fc

137190131196 has 24 divisors (see below), whose sum is σ = 320472856704. Its totient is φ = 45678250800.

The previous prime is 137190131149. The next prime is 137190131207. The reversal of 137190131196 is 691131091731.

It is a super-2 number, since 2×1371901311962 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6463080 + ... + 6484271.

It is an arithmetic number, because the mean of its divisors is an integer number (13353035696).

Almost surely, 2137190131196 is an apocalyptic number.

It is an amenable number.

137190131196 is an abundant number, since it is smaller than the sum of its proper divisors (183282725508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137190131196 is a wasteful number, since it uses less digits than its factorization.

137190131196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12948241 (or 12948239 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 42.

The spelling of 137190131196 in words is "one hundred thirty-seven billion, one hundred ninety million, one hundred thirty-one thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 883 1766 2649 3532 5298 10596 12947351 25894702 38842053 51789404 77684106 155368212 11432510933 22865021866 34297532799 45730043732 68595065598 137190131196