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137597112 = 23322965899
BaseRepresentation
bin10000011001110…
…01000010111000
3100120220122202100
420030321002320
5240211101422
621353103400
73260361522
oct1014710270
9316818670
10137597112
1170740824
123a0b7b60
1322678713
14143baa12
15c12e7ac
hex83390b8

137597112 has 48 divisors (see below), whose sum is σ = 385515000. Its totient is φ = 44283456.

The previous prime is 137597111. The next prime is 137597123. The reversal of 137597112 is 211795731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137597111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30862 + ... + 35037.

Almost surely, 2137597112 is an apocalyptic number.

137597112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137597112 is an abundant number, since it is smaller than the sum of its proper divisors (247917888).

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

137597112 is a wasteful number, since it uses less digits than its factorization.

137597112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65940 (or 65933 counting only the distinct ones).

The product of its digits is 13230, while the sum is 36.

The square root of 137597112 is about 11730.1795382679. The cubic root of 137597112 is about 516.2615403893.

The spelling of 137597112 in words is "one hundred thirty-seven million, five hundred ninety-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 65899 131798 197697 263596 395394 527192 593091 790788 1186182 1581576 1911071 2372364 3822142 4744728 5733213 7644284 11466426 15288568 17199639 22932852 34399278 45865704 68798556 137597112