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131338088 = 2374157203
BaseRepresentation
bin1111101010000…
…00111101101000
3100011010122222122
413311000331220
5232110304323
621011010412
73153232610
oct765007550
9304118878
10131338088
1168156282
1237b99a08
132129685b
141362ba40
15b7e4ec8
hex7d40f68

131338088 has 32 divisors (see below), whose sum is σ = 288308160. Its totient is φ = 54913920.

The previous prime is 131338087. The next prime is 131338091. The reversal of 131338088 is 880833131.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (131338087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26306 + ... + 30897.

It is an arithmetic number, because the mean of its divisors is an integer number (9009630).

Almost surely, 2131338088 is an apocalyptic number.

It is an amenable number.

131338088 is an abundant number, since it is smaller than the sum of its proper divisors (156970072).

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

131338088 is a wasteful number, since it uses less digits than its factorization.

131338088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57257 (or 57253 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 131338088 is about 11460.2830680573. The cubic root of 131338088 is about 508.3118448201.

The spelling of 131338088 in words is "one hundred thirty-one million, three hundred thirty-eight thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 574 1148 2296 57203 114406 228812 400421 457624 800842 1601684 2345323 3203368 4690646 9381292 16417261 18762584 32834522 65669044 131338088