132961824 has 72 divisors (see below), whose sum is σ = 392137200. Its totient is φ = 44318016.

The previous prime is 132961813. The next prime is 132961837. The reversal of 132961824 is 428169231.

132961824 is a `hidden beast` number, since 1 + 32 + 9 + 618 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 774 + ... + 16325.

It is an arithmetic number, because the mean of its divisors is an integer number (5446350).

Almost surely, 2^132961824 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 132961824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196068600).

132961824 is an abundant number, since it is smaller than the sum of its proper divisors (259175376).

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

132961824 is an equidigital number, since it uses as much as digits as its factorization.

132961824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17124 (or 17104 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 132961824 is about 11530.9073363721. The cubic root of 132961824 is about 510.3980283792.

The spelling of 132961824 in words is "one hundred thirty-two million, nine hundred sixty-one thousand, eight hundred twenty-four".