131525200 has 30 divisors (see below), whose sum is σ = 315990254. Its totient is φ = 52609920.

The previous prime is 131525161. The next prime is 131525213. The reversal of 131525200 is 2525131.

It can be written as a sum of positive squares in 3 ways, for example, as 42562576 + 88962624 = 6524^2 + 9432^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 164007 + ... + 164806.

Almost surely, 2^131525200 is an apocalyptic number.

131525200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131525200 is an abundant number, since it is smaller than the sum of its proper divisors (184465054).

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

131525200 is a wasteful number, since it uses less digits than its factorization.

131525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328831 (or 328820 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 131525200 is about 11468.4436607589. The cubic root of 131525200 is about 508.5531206400.

The spelling of 131525200 in words is "one hundred thirty-one million, five hundred twenty-five thousand, two hundred".