132290800 has 60 divisors (see below), whose sum is σ = 319936120. Its totient is φ = 52565760.

The previous prime is 132290783. The next prime is 132290801. The reversal of 132290800 is 8092231.

132290800 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 (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132290801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64186 + ... + 66214.

Almost surely, 2^132290800 is an apocalyptic number.

132290800 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 132290800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159968060).

132290800 is an abundant number, since it is smaller than the sum of its proper divisors (187645320).

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

132290800 is a wasteful number, since it uses less digits than its factorization.

132290800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2210 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 132290800 is about 11501.7737762486. The cubic root of 132290800 is about 509.5379642173.

The spelling of 132290800 in words is "one hundred thirty-two million, two hundred ninety thousand, eight hundred".