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137014356 = 223171076277
BaseRepresentation
bin10000010101010…
…10110001010100
3100112211001100210
420022222301110
5240033424411
621332405420
73252413523
oct1012526124
9315731323
10137014356
1170382a06
1239a76870
13225033ab
14142a84ba
15c066ca6
hex82aac54

137014356 has 48 divisors (see below), whose sum is σ = 341724096. Its totient is φ = 42576384.

The previous prime is 137014349. The next prime is 137014363. The reversal of 137014356 is 653410731.

It is an interprime number because it is at equal distance from previous prime (137014349) and next prime (137014363).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18690 + ... + 24966.

It is an arithmetic number, because the mean of its divisors is an integer number (7119252).

Almost surely, 2137014356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137014356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170862048).

137014356 is an abundant number, since it is smaller than the sum of its proper divisors (204709740).

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

137014356 is a wasteful number, since it uses less digits than its factorization.

137014356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6408 (or 6406 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 137014356 is about 11705.3131525816. The cubic root of 137014356 is about 515.5316795228.

The spelling of 137014356 in words is "one hundred thirty-seven million, fourteen thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 107 204 214 321 428 642 1284 1819 3638 5457 6277 7276 10914 12554 18831 21828 25108 37662 75324 106709 213418 320127 426836 640254 671639 1280508 1343278 2014917 2686556 4029834 8059668 11417863 22835726 34253589 45671452 68507178 137014356