132563264 has 56 divisors (see below), whose sum is σ = 269687040. Its totient is φ = 64636416.

The previous prime is 132563261. The next prime is 132563269. The reversal of 132563264 is 462365231.

132563264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

Its product of digits (25920) is a multiple of the sum of its prime divisors (405).

It is a self number, because there is not a number n which added to its sum of digits gives 132563264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132563261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 793709 + ... + 793875.

It is an arithmetic number, because the mean of its divisors is an integer number (4815840).

Almost surely, 2^132563264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132563264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134843520).

132563264 is an abundant number, since it is smaller than the sum of its proper divisors (137123776).

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

132563264 is a wasteful number, since it uses less digits than its factorization.

132563264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 405 counting only the distinct ones).

The product of its digits is 25920, while the sum is 32.

The square root of 132563264 is about 11513.6121178369. The cubic root of 132563264 is about 509.8875363961.

The spelling of 132563264 in words is "one hundred thirty-two million, five hundred sixty-three thousand, two hundred sixty-four".