132465600 has 126 divisors (see below), whose sum is σ = 470865200. Its totient is φ = 35320320.

The previous prime is 132465577. The next prime is 132465607. The reversal of 132465600 is 6564231.

132465600 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 656 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132465607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9801 + ... + 18999.

Almost surely, 2^132465600 is an apocalyptic number.

132465600 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 132465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235432600).

132465600 is an abundant number, since it is smaller than the sum of its proper divisors (338399600).

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

132465600 is a wasteful number, since it uses less digits than its factorization.

132465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9227 (or 9209 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 132465600 is about 11509.3700957090. The cubic root of 132465600 is about 509.7622882967.

The spelling of 132465600 in words is "one hundred thirty-two million, four hundred sixty-five thousand, six hundred".