132088800 has 144 divisors (see below), whose sum is σ = 439471872. Its totient is φ = 34444800.

The previous prime is 132088783. The next prime is 132088811. The reversal of 132088800 is 8880231.

132088800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 112215 + ... + 113385.

It is an arithmetic number, because the mean of its divisors is an integer number (3051888).

Almost surely, 2^132088800 is an apocalyptic number.

132088800 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 132088800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219735936).

132088800 is an abundant number, since it is smaller than the sum of its proper divisors (307383072).

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

132088800 is a wasteful number, since it uses less digits than its factorization.

132088800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 132088800 is about 11492.9891673141. The cubic root of 132088800 is about 509.2784876176.

The spelling of 132088800 in words is "one hundred thirty-two million, eighty-eight thousand, eight hundred".