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137916027 = 3423181409
BaseRepresentation
bin10000011100001…
…10111001111011
3100121111212020000
420032012321323
5240301303102
621404004043
73263160354
oct1016067173
9317455200
10137916027
1170939397
123a230623
132275a922
1414460d2b
15c19401c
hex8386e7b

137916027 has 40 divisors (see below), whose sum is σ = 216696480. Its totient is φ = 87246720.

The previous prime is 137916013. The next prime is 137916029. The reversal of 137916027 is 720619731.

It is a happy number.

It is not a de Polignac number, because 137916027 - 24 = 137916011 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137915982 and 137916000.

It is not an unprimeable number, because it can be changed into a prime (137916029) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 336999 + ... + 337407.

It is an arithmetic number, because the mean of its divisors is an integer number (5417412).

Almost surely, 2137916027 is an apocalyptic number.

137916027 is a deficient number, since it is larger than the sum of its proper divisors (78780453).

137916027 is a wasteful number, since it uses less digits than its factorization.

137916027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 137916027 is about 11743.7654523581. The cubic root of 137916027 is about 516.6600868164.

The spelling of 137916027 in words is "one hundred thirty-seven million, nine hundred sixteen thousand, twenty-seven".

Divisors: 1 3 9 23 27 69 81 181 207 409 543 621 1227 1629 1863 3681 4163 4887 9407 11043 12489 14661 28221 33129 37467 74029 84663 112401 222087 253989 337203 666261 761967 1702667 1998783 5108001 5996349 15324003 45972009 137916027