132921600 has 432 divisors, whose sum is σ = 535299072. Its totient is φ = 28385280.

The previous prime is 132921599. The next prime is 132921601. The reversal of 132921600 is 6129231.

It is an interprime number because it is at equal distance from previous prime (132921599) and next prime (132921601).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (132921601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3091179 + ... + 3091221.

Almost surely, 2^132921600 is an apocalyptic number.

132921600 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 132921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267649536).

132921600 is an abundant number, since it is smaller than the sum of its proper divisors (402377472).

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

132921600 is a wasteful number, since it uses less digits than its factorization.

132921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 132921600 is about 11529.1630225268. The cubic root of 132921600 is about 510.3465541532.

The spelling of 132921600 in words is "one hundred thirty-two million, nine hundred twenty-one thousand, six hundred".