131990400 has 144 divisors (see below), whose sum is σ = 471074760. Its totient is φ = 35189760.

The previous prime is 131990387. The next prime is 131990401. The reversal of 131990400 is 4099131.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131990401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26509 + ... + 31091.

Almost surely, 2^131990400 is an apocalyptic number.

131990400 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 131990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235537380).

131990400 is an abundant number, since it is smaller than the sum of its proper divisors (339084360).

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

131990400 is a wasteful number, since it uses less digits than its factorization.

131990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4613 (or 4593 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 131990400 is about 11488.7074991054. The cubic root of 131990400 is about 509.1519932888.

It can be divided in two parts, 1319 and 90400, that added together give a palindrome (91719).

The spelling of 131990400 in words is "one hundred thirty-one million, nine hundred ninety thousand, four hundred".