131564700 has 108 divisors (see below), whose sum is σ = 436690800. Its totient is φ = 33016320.

The previous prime is 131564663. The next prime is 131564701. The reversal of 131564700 is 7465131.

131564700 is a `hidden beast` number, since 1 + 3 + 15 + 647 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131564701) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11001 + ... + 19599.

Almost surely, 2^131564700 is an apocalyptic number.

131564700 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 131564700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218345400).

131564700 is an abundant number, since it is smaller than the sum of its proper divisors (305126100).

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

131564700 is a wasteful number, since it uses less digits than its factorization.

131564700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8636 (or 8626 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 131564700 is about 11470.1656483244. The cubic root of 131564700 is about 508.6040255557.

The spelling of 131564700 in words is "one hundred thirty-one million, five hundred sixty-four thousand, seven hundred".