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137089160 = 23513436131
BaseRepresentation
bin10000010101111…
…01000010001000
3100112221211222022
420022331002020
5240043323120
621334144012
73253144565
oct1012750210
9315854868
10137089160
117042412a
1239ab2008
132252b460
14142c786c
15c07e025
hex82bd088

137089160 has 64 divisors (see below), whose sum is σ = 339958080. Its totient is φ = 49432320.

The previous prime is 137089157. The next prime is 137089171. The reversal of 137089160 is 61980731.

It is a self number, because there is not a number n which added to its sum of digits gives 137089160.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19295 + ... + 25425.

It is an arithmetic number, because the mean of its divisors is an integer number (5311845).

Almost surely, 2137089160 is an apocalyptic number.

137089160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137089160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169979040).

137089160 is an abundant number, since it is smaller than the sum of its proper divisors (202868920).

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

137089160 is a wasteful number, since it uses less digits than its factorization.

137089160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6198 (or 6194 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 137089160 is about 11708.5080176767. The cubic root of 137089160 is about 515.6254818973.

The spelling of 137089160 in words is "one hundred thirty-seven million, eighty-nine thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 65 86 104 130 172 215 260 344 430 520 559 860 1118 1720 2236 2795 4472 5590 6131 11180 12262 22360 24524 30655 49048 61310 79703 122620 159406 245240 263633 318812 398515 527266 637624 797030 1054532 1318165 1594060 2109064 2636330 3188120 3427229 5272660 6854458 10545320 13708916 17136145 27417832 34272290 68544580 137089160