131888000 has 64 divisors (see below), whose sum is σ = 327946320. Its totient is φ = 52748800.

The previous prime is 131887999. The next prime is 131888033. The reversal of 131888000 is 888131.

It is a happy number.

131888000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 11879 + ... + 20121.

Almost surely, 2^131888000 is an apocalyptic number.

131888000 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 131888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163973160).

131888000 is an abundant number, since it is smaller than the sum of its proper divisors (196058320).

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

131888000 is an frugal number, since it uses more digits than its factorization.

131888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8272 (or 8250 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 29.

The square root of 131888000 is about 11484.2500843547. The cubic root of 131888000 is about 509.0202901426.

The spelling of 131888000 in words is "one hundred thirty-one million, eight hundred eighty-eight thousand".