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137427012 = 223219919183
BaseRepresentation
bin10000011000011…
…11100001000100
3100120121000102100
420030033201010
5240140131022
621345312100
73256052562
oct1014174104
9316530370
10137427012
1170634a48
123a035630
1322619178
1414374a32
15c0e91ac
hex830f844

137427012 has 36 divisors (see below), whose sum is σ = 349148800. Its totient is φ = 45576432.

The previous prime is 137426987. The next prime is 137427041. The reversal of 137427012 is 210724731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2428 + ... + 16755.

Almost surely, 2137427012 is an apocalyptic number.

137427012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137427012 is an abundant number, since it is smaller than the sum of its proper divisors (211721788).

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

137427012 is a wasteful number, since it uses less digits than its factorization.

137427012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19392 (or 19387 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 137427012 is about 11722.9267676634. The cubic root of 137427012 is about 516.0487154295.

The spelling of 137427012 in words is "one hundred thirty-seven million, four hundred twenty-seven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 199 398 597 796 1194 1791 2388 3582 7164 19183 38366 57549 76732 115098 172647 230196 345294 690588 3817417 7634834 11452251 15269668 22904502 34356753 45809004 68713506 137427012