131195600 has 60 divisors (see below), whose sum is σ = 319586316. Its totient is φ = 51747840.

The previous prime is 131195593. The next prime is 131195609. The reversal of 131195600 is 6591131.

131195600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 8340544 + 122855056 = 2888^2 + 11084^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 131195600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131195609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26954 + ... + 31446.

Almost surely, 2^131195600 is an apocalyptic number.

131195600 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 131195600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159793158).

131195600 is an abundant number, since it is smaller than the sum of its proper divisors (188390716).

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

131195600 is a wasteful number, since it uses less digits than its factorization.

131195600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4584 (or 4573 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 26.

The square root of 131195600 is about 11454.0647806794. The cubic root of 131195600 is about 508.1279566898.

The spelling of 131195600 in words is "one hundred thirty-one million, one hundred ninety-five thousand, six hundred".