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137428650 = 2355211311
BaseRepresentation
bin10000011000011…
…11111010101010
3100120121002200000
420030033322222
5240140204100
621345323430
73256060422
oct1014177252
9316532600
10137428650
11706361a7
123a036576
1322619b38
1414375482
15c0e9900
hex830feaa

137428650 has 72 divisors (see below), whose sum is σ = 382933824. Its totient is φ = 36644400.

The previous prime is 137428639. The next prime is 137428667. The reversal of 137428650 is 56824731.

137428650 is a `hidden beast` number, since 1 + 374 + 286 + 5 + 0 = 666.

137428650 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6495 + ... + 17805.

Almost surely, 2137428650 is an apocalyptic number.

137428650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137428650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191466912).

137428650 is an abundant number, since it is smaller than the sum of its proper divisors (245505174).

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

137428650 is a wasteful number, since it uses less digits than its factorization.

137428650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11338 (or 11321 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 137428650 is about 11722.9966305548. The cubic root of 137428650 is about 516.0507656922.

The spelling of 137428650 in words is "one hundred thirty-seven million, four hundred twenty-eight thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 243 270 405 450 486 675 810 1215 1350 2025 2430 4050 6075 11311 12150 22622 33933 56555 67866 101799 113110 169665 203598 282775 305397 339330 508995 565550 610794 848325 916191 1017990 1526985 1696650 1832382 2544975 2748573 3053970 4580955 5089950 5497146 7634925 9161910 13742865 15269850 22904775 27485730 45809550 68714325 137428650