131185600 has 336 divisors, whose sum is σ = 428597568. Its totient is φ = 38338560.

The previous prime is 131185597. The next prime is 131185619. The reversal of 131185600 is 6581131.

131185600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2475174 + ... + 2475226.

It is an arithmetic number, because the mean of its divisors is an integer number (1275588).

Almost surely, 2^131185600 is an apocalyptic number.

131185600 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 131185600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214298784).

131185600 is an abundant number, since it is smaller than the sum of its proper divisors (297411968).

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

131185600 is a wasteful number, since it uses less digits than its factorization.

131185600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 131185600 is about 11453.6282461061. The cubic root of 131185600 is about 508.1150461738.

The spelling of 131185600 in words is "one hundred thirty-one million, one hundred eighty-five thousand, six hundred".