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137358090 = 23257919319
BaseRepresentation
bin10000010111111…
…10101100001010
3100120110111212200
420023332230022
5240130424330
621344021030
73255344622
oct1013765412
9316414780
10137358090
1170598191
123a001776
13225c399c
1414357882
15c0d3a60
hex82feb0a

137358090 has 48 divisors (see below), whose sum is σ = 361670400. Its totient is φ = 36163296.

The previous prime is 137358083. The next prime is 137358103. The reversal of 137358090 is 90853731.

137358090 is a `hidden beast` number, since 1 + 3 + 73 + 580 + 9 + 0 = 666.

137358090 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 23 ways as a sum of consecutive naturals, for example, 2550 + ... + 16769.

It is an arithmetic number, because the mean of its divisors is an integer number (7534800).

Almost surely, 2137358090 is an apocalyptic number.

137358090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137358090 is an abundant number, since it is smaller than the sum of its proper divisors (224312310).

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

137358090 is a wasteful number, since it uses less digits than its factorization.

137358090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19411 (or 19408 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 137358090 is about 11719.9867747366. The cubic root of 137358090 is about 515.9624319142.

The spelling of 137358090 in words is "one hundred thirty-seven million, three hundred fifty-eight thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 79 90 158 237 395 474 711 790 1185 1422 2370 3555 7110 19319 38638 57957 96595 115914 173871 193190 289785 347742 579570 869355 1526201 1738710 3052402 4578603 7631005 9157206 13735809 15262010 22893015 27471618 45786030 68679045 137358090