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131145144 = 233131922123
BaseRepresentation
bin1111101000100…
…01110110111000
3100010202212022120
413310101312320
5232033121034
621002521240
73151500234
oct764216670
9303685276
10131145144
1168034319
1237b06220
1321229aa0
14135bb5c4
15b7a7c49
hex7d11db8

131145144 has 64 divisors (see below), whose sum is σ = 371683200. Its totient is φ = 38226816.

The previous prime is 131145143. The next prime is 131145169. The reversal of 131145144 is 441541131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131145143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5134 + ... + 16989.

It is an arithmetic number, because the mean of its divisors is an integer number (5807550).

Almost surely, 2131145144 is an apocalyptic number.

It is an amenable number.

131145144 is an abundant number, since it is smaller than the sum of its proper divisors (240538056).

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

131145144 is a wasteful number, since it uses less digits than its factorization.

131145144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22164 (or 22160 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 131145144 is about 11451.8620320016. The cubic root of 131145144 is about 508.0628086930.

Adding to 131145144 its reverse (441541131), we get a palindrome (572686275).

The spelling of 131145144 in words is "one hundred thirty-one million, one hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1482 1976 2964 5928 22123 44246 66369 88492 132738 176984 265476 287599 420337 530952 575198 840674 862797 1150396 1261011 1681348 1725594 2300792 2522022 3362696 3451188 5044044 5464381 6902376 10088088 10928762 16393143 21857524 32786286 43715048 65572572 131145144