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131136252 = 2231319151293
BaseRepresentation
bin1111101000011…
…11101011111100
3100010202102010020
413310033223330
5232032330002
621002412140
73151432302
oct764175374
9303672106
10131136252
1168028675
1237b01050
1321225a20
14135b8272
15b7a52bc
hex7d0fafc

131136252 has 96 divisors (see below), whose sum is σ = 350353920. Its totient is φ = 37843200.

The previous prime is 131136211. The next prime is 131136259. The reversal of 131136252 is 252631131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131136259) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 447418 + ... + 447710.

It is an arithmetic number, because the mean of its divisors is an integer number (3649520).

Almost surely, 2131136252 is an apocalyptic number.

131136252 is a gapful number since it is divisible by the number (12) 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 131136252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175176960).

131136252 is an abundant number, since it is smaller than the sum of its proper divisors (219217668).

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

131136252 is a wasteful number, since it uses less digits than its factorization.

131136252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 481 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 131136252 is about 11451.4737916130. The cubic root of 131136252 is about 508.0513257501.

Adding to 131136252 its reverse (252631131), we get a palindrome (383767383).

The spelling of 131136252 in words is "one hundred thirty-one million, one hundred thirty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 151 156 228 247 293 302 453 494 586 604 741 879 906 988 1172 1482 1758 1812 1963 2869 2964 3516 3809 3926 5567 5738 5889 7618 7852 8607 11134 11427 11476 11778 15236 16701 17214 22268 22854 23556 33402 34428 37297 44243 45708 66804 72371 74594 88486 111891 132729 144742 149188 176972 217113 223782 265458 289484 434226 447564 530916 575159 840617 868452 1150318 1681234 1725477 2300636 2521851 3362468 3450954 5043702 6901908 10087404 10928021 21856042 32784063 43712084 65568126 131136252