131079400 has 48 divisors (see below), whose sum is σ = 306230400. Its totient is φ = 52178880.

The previous prime is 131079397. The next prime is 131079413. The reversal of 131079400 is 4970131.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43131 + ... + 46069.

It is an arithmetic number, because the mean of its divisors is an integer number (6379800).

Almost surely, 2^131079400 is an apocalyptic number.

131079400 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 131079400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153115200).

131079400 is an abundant number, since it is smaller than the sum of its proper divisors (175151000).

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

131079400 is a wasteful number, since it uses less digits than its factorization.

131079400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3178 (or 3169 counting only the distinct ones).

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

The square root of 131079400 is about 11448.9912219374. The cubic root of 131079400 is about 507.9778959940.

The spelling of 131079400 in words is "one hundred thirty-one million, seventy-nine thousand, four hundred".