132189824 has 64 divisors (see below), whose sum is σ = 300351240. Its totient is φ = 57409536.

The previous prime is 132189817. The next prime is 132189829. The reversal of 132189824 is 428981231.

It can be written as a sum of positive squares in 4 ways, for example, as 129231424 + 2958400 = 11368^2 + 1720^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (132189829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25952 + ... + 30624.

Almost surely, 2^132189824 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 132189824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150175620).

132189824 is an abundant number, since it is smaller than the sum of its proper divisors (168161416).

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

132189824 is a wasteful number, since it uses less digits than its factorization.

132189824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4717 (or 4705 counting only the distinct ones).

The product of its digits is 27648, while the sum is 38.

The square root of 132189824 is about 11497.3833544855. The cubic root of 132189824 is about 509.4082897886.

The spelling of 132189824 in words is "one hundred thirty-two million, one hundred eighty-nine thousand, eight hundred twenty-four".