132920800 has 36 divisors (see below), whose sum is σ = 324494856. Its totient is φ = 53168000.

The previous prime is 132920797. The next prime is 132920803. The reversal of 132920800 is 8029231.

It is an interprime number because it is at equal distance from previous prime (132920797) and next prime (132920803).

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 (132920803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 82276 + ... + 83875.

It is an arithmetic number, because the mean of its divisors is an integer number (9013746).

Almost surely, 2^132920800 is an apocalyptic number.

132920800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132920800 is an abundant number, since it is smaller than the sum of its proper divisors (191574056).

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

132920800 is a wasteful number, since it uses less digits than its factorization.

132920800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166171 (or 166158 counting only the distinct ones).

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

The square root of 132920800 is about 11529.1283278486. The cubic root of 132920800 is about 510.3455302963.

The spelling of 132920800 in words is "one hundred thirty-two million, nine hundred twenty thousand, eight hundred".