132650400 has 144 divisors (see below), whose sum is σ = 454658400. Its totient is φ = 33500160.

The previous prime is 132650393. The next prime is 132650411. The reversal of 132650400 is 4056231.

It is a happy number.

It is a super-2 number, since 2×132650400² = 35192257240320000, which contains 22 as substring.

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, 44146 + ... + 47054.

It is an arithmetic number, because the mean of its divisors is an integer number (3157350).

Almost surely, 2^132650400 is an apocalyptic number.

132650400 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 132650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227329200).

132650400 is an abundant number, since it is smaller than the sum of its proper divisors (322008000).

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

132650400 is a wasteful number, since it uses less digits than its factorization.

132650400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2951 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 132650400 is about 11517.3955389229. The cubic root of 132650400 is about 509.9992310638. Note that the first 3 decimals are identical.

The spelling of 132650400 in words is "one hundred thirty-two million, six hundred fifty thousand, four hundred".