131932800 has 240 divisors, whose sum is σ = 487817550. Its totient is φ = 35112960.

The previous prime is 131932783. The next prime is 131932841. The reversal of 131932800 is 8239131.

It can be written as a sum of positive squares in 3 ways, for example, as 115089984 + 16842816 = 10728^2 + 4104^2 .

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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 258946 + ... + 259454.

Almost surely, 2^131932800 is an apocalyptic number.

131932800 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 131932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243908775).

131932800 is an abundant number, since it is smaller than the sum of its proper divisors (355884750).

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

131932800 is an equidigital number, since it uses as much as digits as its factorization.

131932800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 131932800 is about 11486.2004161515. The cubic root of 131932800 is about 509.0779186543.

The spelling of 131932800 in words is "one hundred thirty-one million, nine hundred thirty-two thousand, eight hundred".