131670400 has 96 divisors (see below), whose sum is σ = 339598800. Its totient is φ = 50350080.

The previous prime is 131670379. The next prime is 131670401. The reversal of 131670400 is 4076131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131670401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72706 + ... + 74494.

Almost surely, 2^131670400 is an apocalyptic number.

131670400 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 131670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169799400).

131670400 is an abundant number, since it is smaller than the sum of its proper divisors (207928400).

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

131670400 is a wasteful number, since it uses less digits than its factorization.

131670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 131670400 is about 11474.7723288961. The cubic root of 131670400 is about 508.7401944394.

The spelling of 131670400 in words is "one hundred thirty-one million, six hundred seventy thousand, four hundred".