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137652031 = 1171337523
BaseRepresentation
bin10000011010001…
…10011100111111
3100121000110002101
420031012130333
5240214331111
621354205531
73261010606
oct1015063477
9317013071
10137652031
1170779010
123a1238a7
132269770a
14143d2a3d
15c140bc1
hex834673f

137652031 has 16 divisors (see below), whose sum is σ = 153024768. Its totient is φ = 122774400.

The previous prime is 137652029. The next prime is 137652071. The reversal of 137652031 is 130256731.

It is a cyclic number.

It is not a de Polignac number, because 137652031 - 21 = 137652029 is a prime.

It is a super-2 number, since 2×1376520312 = 37896163276849922, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137652001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262936 + ... + 263458.

It is an arithmetic number, because the mean of its divisors is an integer number (9564048).

Almost surely, 2137652031 is an apocalyptic number.

137652031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137652031 is a deficient number, since it is larger than the sum of its proper divisors (15372737).

137652031 is a wasteful number, since it uses less digits than its factorization.

137652031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942.

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 137652031 is about 11732.5202322434. The cubic root of 137652031 is about 516.3302162402.

The spelling of 137652031 in words is "one hundred thirty-seven million, six hundred fifty-two thousand, thirty-one".

Divisors: 1 11 71 337 523 781 3707 5753 23927 37133 176251 263197 408463 1938761 12513821 137652031