131790400 has 189 divisors, whose sum is σ = 386656707. Its totient is φ = 44083200.

The previous prime is 131790377. The next prime is 131790401. The reversal of 131790400 is 4097131.

The square root of 131790400 is 11480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 55472704 + 76317696 = 7448^2 + 8736^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131790401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3214380 + ... + 3214420.

Almost surely, 2^131790400 is an apocalyptic number.

131790400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131790400 is the 11480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131790400

131790400 is an abundant number, since it is smaller than the sum of its proper divisors (254866307).

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

131790400 is an equidigital number, since it uses as much as digits as its factorization.

131790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The cubic root of 131790400 is about 508.8946971137.

Multiplying 131790400 by its sum of digits (25), we get a square (3294760000 = 57400²).

131790400 divided by its sum of digits (25) gives a square (5271616 = 2296²).

The spelling of 131790400 in words is "one hundred thirty-one million, seven hundred ninety thousand, four hundred".