131365200 has 60 divisors (see below), whose sum is σ = 420810368. Its totient is φ = 35030400.

The previous prime is 131365187. The next prime is 131365219. The reversal of 131365200 is 2563131.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53536 + ... + 55935.

Almost surely, 2^131365200 is an apocalyptic number.

131365200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131365200 is an abundant number, since it is smaller than the sum of its proper divisors (289445168).

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

131365200 is a wasteful number, since it uses less digits than its factorization.

131365200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109492 (or 109481 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 131365200 is about 11461.4658748347. The cubic root of 131365200 is about 508.3468191949.

It can be divided in two parts, 13136 and 5200, that added together give a triangular number (18336 = T₁₉₁).

The spelling of 131365200 in words is "one hundred thirty-one million, three hundred sixty-five thousand, two hundred".