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131525136 = 24321396571
BaseRepresentation
bin1111101011011…
…10101000010000
3100011111011120100
413311232220100
5232132301021
621015012400
73154642131
oct765565020
9304434510
10131525136
1168273866
123806a100
1321330a32
1413679c88
15b830626
hex7d6ea10

131525136 has 60 divisors (see below), whose sum is σ = 370792240. Its totient is φ = 43519680.

The previous prime is 131525071. The next prime is 131525143. The reversal of 131525136 is 631525131.

131525136 is a `hidden beast` number, since 1 + 3 + 1 + 525 + 136 = 666.

It is a super-2 number, since 2×1315251362 = 34597722799636992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16731 + ... + 23301.

Almost surely, 2131525136 is an apocalyptic number.

131525136 is a gapful number since it is divisible by the number (16) 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 131525136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185396120).

131525136 is an abundant number, since it is smaller than the sum of its proper divisors (239267104).

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

131525136 is a wasteful number, since it uses less digits than its factorization.

131525136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6724 (or 6715 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 131525136 is about 11468.4408704933. The cubic root of 131525136 is about 508.5530381528.

The spelling of 131525136 in words is "one hundred thirty-one million, five hundred twenty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 278 417 556 834 1112 1251 1668 2224 2502 3336 5004 6571 6672 10008 13142 19713 20016 26284 39426 52568 59139 78852 105136 118278 157704 236556 315408 473112 913369 946224 1826738 2740107 3653476 5480214 7306952 8220321 10960428 14613904 16440642 21920856 32881284 43841712 65762568 131525136