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137094336 = 263379337
BaseRepresentation
bin10000010101111…
…10010011000000
3100112222010002000
420022332103000
5240044004321
621334224000
73253165641
oct1012762300
9315863060
10137094336
1170428005
1239ab5000
1322530912
14142c96c8
15c080826
hex82be4c0

137094336 has 56 divisors (see below), whose sum is σ = 403037040. Its totient is φ = 45697536.

The previous prime is 137094323. The next prime is 137094343. The reversal of 137094336 is 633490731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 137094336.

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 7 ways as a sum of consecutive naturals, for example, 37941 + ... + 41396.

It is an arithmetic number, because the mean of its divisors is an integer number (7197090).

Almost surely, 2137094336 is an apocalyptic number.

137094336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137094336 is an abundant number, since it is smaller than the sum of its proper divisors (265942704).

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

137094336 is an equidigital number, since it uses as much as digits as its factorization.

137094336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79358 (or 79342 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 137094336 is about 11708.7290514385. The cubic root of 137094336 is about 515.6319712115.

The spelling of 137094336 in words is "one hundred thirty-seven million, ninety-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 79337 158674 238011 317348 476022 634696 714033 952044 1269392 1428066 1904088 2142099 2538784 2856132 3808176 4284198 5077568 5712264 7616352 8568396 11424528 15232704 17136792 22849056 34273584 45698112 68547168 137094336