131566400 has 168 divisors, whose sum is σ = 392314176. Its totient is φ = 42393600.

The previous prime is 131566399. The next prime is 131566423. The reversal of 131566400 is 4665131.

It is a self number, because there is not a number n which added to its sum of digits gives 131566400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190055 + ... + 190745.

Almost surely, 2^131566400 is an apocalyptic number.

131566400 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 131566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196157088).

131566400 is an abundant number, since it is smaller than the sum of its proper divisors (260747776).

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

131566400 is a wasteful number, since it uses less digits than its factorization.

131566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 131566400 is about 11470.2397533792. The cubic root of 131566400 is about 508.6062161714.

The spelling of 131566400 in words is "one hundred thirty-one million, five hundred sixty-six thousand, four hundred".