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137154012 = 223109310457
BaseRepresentation
bin10000010110011…
…00110111011100
3100120002010221020
420023030313130
5240102412022
621335404140
73253534632
oct1013146734
9316063836
10137154012
1170468926
1239b23650
1322551b28
1414303352
15c09335c
hex82ccddc

137154012 has 24 divisors (see below), whose sum is σ = 320349456. Its totient is φ = 45671808.

The previous prime is 137154007. The next prime is 137154019. The reversal of 137154012 is 210451731.

137154012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1371540122 = 37622446015392288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137154019) 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, 7888 + ... + 18344.

It is an arithmetic number, because the mean of its divisors is an integer number (13347894).

Almost surely, 2137154012 is an apocalyptic number.

137154012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137154012 is an abundant number, since it is smaller than the sum of its proper divisors (183195444).

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

137154012 is a wasteful number, since it uses less digits than its factorization.

137154012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11557 (or 11555 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 137154012 is about 11711.2771293314. The cubic root of 137154012 is about 515.7067770976.

The spelling of 137154012 in words is "one hundred thirty-seven million, one hundred fifty-four thousand, twelve".

Divisors: 1 2 3 4 6 12 1093 2186 3279 4372 6558 10457 13116 20914 31371 41828 62742 125484 11429501 22859002 34288503 45718004 68577006 137154012