131980800 has 240 divisors, whose sum is σ = 499289472. Its totient is φ = 30105600.

The previous prime is 131980799. The next prime is 131980811. The reversal of 131980800 is 8089131.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268555 + ... + 269045.

Almost surely, 2^131980800 is an apocalyptic number.

131980800 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 131980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249644736).

131980800 is an abundant number, since it is smaller than the sum of its proper divisors (367308672).

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

131980800 is an equidigital number, since it uses as much as digits as its factorization.

131980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 131980800 is about 11488.2896899408. The cubic root of 131980800 is about 509.1396490132.

The spelling of 131980800 in words is "one hundred thirty-one million, nine hundred eighty thousand, eight hundred".