131944000 has 56 divisors (see below), whose sum is σ = 326779128. Its totient is φ = 52774400.

The previous prime is 131943991. The next prime is 131944019. The reversal of 131944000 is 449131.

It can be written as a sum of positive squares in 4 ways, for example, as 32901696 + 99042304 = 5736^2 + 9952^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247 + ... + 16246.

Almost surely, 2^131944000 is an apocalyptic number.

131944000 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 131944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163389564).

131944000 is an abundant number, since it is smaller than the sum of its proper divisors (194835128).

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

131944000 is an equidigital number, since it uses as much as digits as its factorization.

131944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16520 (or 16500 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 131944000 is about 11486.6879473589. The cubic root of 131944000 is about 509.0923237437.

The spelling of 131944000 in words is "one hundred thirty-one million, nine hundred forty-four thousand".