132813600 has 72 divisors (see below), whose sum is σ = 432316080. Its totient is φ = 35416320.

The previous prime is 132813589. The next prime is 132813607. The reversal of 132813600 is 6318231.

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 (132813607) 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 11 ways as a sum of consecutive naturals, for example, 25270 + ... + 30069.

It is an arithmetic number, because the mean of its divisors is an integer number (6004390).

Almost surely, 2^132813600 is an apocalyptic number.

132813600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132813600 is an abundant number, since it is smaller than the sum of its proper divisors (299502480).

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

132813600 is a wasteful number, since it uses less digits than its factorization.

132813600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55362 (or 55349 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 132813600 is about 11524.4782962180. The cubic root of 132813600 is about 510.2082963070.

The spelling of 132813600 in words is "one hundred thirty-two million, eight hundred thirteen thousand, six hundred".