132904800 has 360 divisors, whose sum is σ = 555808176. Its totient is φ = 30274560.

The previous prime is 132904769. The next prime is 132904813. The reversal of 132904800 is 8409231.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 453454 + ... + 453746.

Almost surely, 2^132904800 is an apocalyptic number.

132904800 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 132904800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277904088).

132904800 is an abundant number, since it is smaller than the sum of its proper divisors (422903376).

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

132904800 is a wasteful number, since it uses less digits than its factorization.

132904800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 132904800 is about 11528.4344123563. The cubic root of 132904800 is about 510.3250522971.

The spelling of 132904800 in words is "one hundred thirty-two million, nine hundred four thousand, eight hundred".