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131525500 = 22532311437
BaseRepresentation
bin1111101011011…
…10101101111100
3100011111012001211
413311232231330
5232132304000
621015014204
73154643161
oct765565574
9304435054
10131525500
1168274067
123806a364
1321330c52
141367a068
15b8307ba
hex7d6eb7c

131525500 has 48 divisors (see below), whose sum is σ = 299767104. Its totient is φ = 50318400.

The previous prime is 131525497. The next prime is 131525521. The reversal of 131525500 is 5525131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5782 + ... + 17218.

It is an arithmetic number, because the mean of its divisors is an integer number (6245148).

Almost surely, 2131525500 is an apocalyptic number.

131525500 is a gapful number since it is divisible by the number (10) 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 131525500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149883552).

131525500 is an abundant number, since it is smaller than the sum of its proper divisors (168241604).

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

131525500 is a wasteful number, since it uses less digits than its factorization.

131525500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11479 (or 11467 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

The square root of 131525500 is about 11468.4567401198. The cubic root of 131525500 is about 508.5535072980.

The spelling of 131525500 in words is "one hundred thirty-one million, five hundred twenty-five thousand, five hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 125 230 250 460 500 575 1150 2300 2875 5750 11437 11500 22874 45748 57185 114370 228740 263051 285925 526102 571850 1052204 1143700 1315255 1429625 2630510 2859250 5261020 5718500 6576275 13152550 26305100 32881375 65762750 131525500