131808000 has 144 divisors (see below), whose sum is σ = 438119136. Its totient is φ = 35123200.

The previous prime is 131807993. The next prime is 131808013. The reversal of 131808000 is 808131.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95314 + ... + 96686.

It is an arithmetic number, because the mean of its divisors is an integer number (3042494).

Almost surely, 2^131808000 is an apocalyptic number.

131808000 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 131808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219059568).

131808000 is an abundant number, since it is smaller than the sum of its proper divisors (306311136).

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

131808000 is an equidigital number, since it uses as much as digits as its factorization.

131808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 131808000 is about 11480.7665249320. The cubic root of 131808000 is about 508.9173496185.

The spelling of 131808000 in words is "one hundred thirty-one million, eight hundred eight thousand".