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131135840 = 2551174509
BaseRepresentation
bin1111101000011…
…11100101100000
3100010202101112222
413310033211200
5232032321330
621002410212
73151431143
oct764174540
9303671488
10131135840
1168028330
1237b00968
1321225794
14135b805a
15b7a50e5
hex7d0f960

131135840 has 48 divisors (see below), whose sum is σ = 337977360. Its totient is φ = 47685120.

The previous prime is 131135839. The next prime is 131135863. The reversal of 131135840 is 48531131.

131135840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35495 + ... + 39014.

It is an arithmetic number, because the mean of its divisors is an integer number (7041195).

Almost surely, 2131135840 is an apocalyptic number.

131135840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131135840 is an abundant number, since it is smaller than the sum of its proper divisors (206841520).

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

131135840 is a wasteful number, since it uses less digits than its factorization.

131135840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74535 (or 74527 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 131135840 is about 11451.4558026480. The cubic root of 131135840 is about 508.0507936894.

Adding to 131135840 its reverse (48531131), we get a palindrome (179666971).

The spelling of 131135840 in words is "one hundred thirty-one million, one hundred thirty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 74509 149018 298036 372545 596072 745090 819599 1192144 1490180 1639198 2384288 2980360 3278396 4097995 5960720 6556792 8195990 11921440 13113584 16391980 26227168 32783960 65567920 131135840