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131146664 = 23111978437
BaseRepresentation
bin1111101000100…
…10001110101000
3100010202221101212
413310102032220
5232033143124
621002532252
73151504535
oct764221650
9303687355
10131146664
1168035480
1237b07088
132122a69c
14135bbd8c
15b7a840e
hex7d123a8

131146664 has 32 divisors (see below), whose sum is σ = 282376800. Its totient is φ = 56473920.

The previous prime is 131146651. The next prime is 131146679. The reversal of 131146664 is 466641131.

131146664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 131146664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37547 + ... + 40890.

It is an arithmetic number, because the mean of its divisors is an integer number (8824275).

Almost surely, 2131146664 is an apocalyptic number.

It is an amenable number.

131146664 is an abundant number, since it is smaller than the sum of its proper divisors (151230136).

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

131146664 is a wasteful number, since it uses less digits than its factorization.

131146664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78473 (or 78469 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 131146664 is about 11451.9283965627. The cubic root of 131146664 is about 508.0647715373.

Adding to 131146664 its reverse (466641131), we get a palindrome (597787795).

The spelling of 131146664 in words is "one hundred thirty-one million, one hundred forty-six thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 1672 78437 156874 313748 627496 862807 1490303 1725614 2980606 3451228 5961212 6902456 11922424 16393333 32786666 65573332 131146664