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137138712 = 23320272819
BaseRepresentation
bin10000010110010…
…01001000011000
3100120001100221120
420023021020120
5240101414322
621335205240
73253442214
oct1013111030
9316040846
10137138712
1170458387
1239b16820
1322547b89
14142db944
15c08da5c
hex82c9218

137138712 has 32 divisors (see below), whose sum is σ = 343137600. Its totient is φ = 45674144.

The previous prime is 137138671. The next prime is 137138717. The reversal of 137138712 is 217831731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137138717) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47239 + ... + 50057.

It is an arithmetic number, because the mean of its divisors is an integer number (10723050).

Almost surely, 2137138712 is an apocalyptic number.

137138712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137138712 is an abundant number, since it is smaller than the sum of its proper divisors (205998888).

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

137138712 is a wasteful number, since it uses less digits than its factorization.

137138712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4855 (or 4851 counting only the distinct ones).

The product of its digits is 7056, while the sum is 33.

The square root of 137138712 is about 11710.6238945668. The cubic root of 137138712 is about 515.6876000985.

The spelling of 137138712 in words is "one hundred thirty-seven million, one hundred thirty-eight thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 2027 2819 4054 5638 6081 8108 8457 11276 12162 16216 16914 22552 24324 33828 48648 67656 5714113 11428226 17142339 22856452 34284678 45712904 68569356 137138712