132088960 has 64 divisors (see below), whose sum is σ = 317866680. Its totient is φ = 52486144.

The previous prime is 132088919. The next prime is 132088981. The reversal of 132088960 is 69880231.

It can be written as a sum of positive squares in 4 ways, for example, as 125978176 + 6110784 = 11224^2 + 2472^2 .

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 110124 + ... + 111316.

Almost surely, 2^132088960 is an apocalyptic number.

132088960 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 132088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158933340).

132088960 is an abundant number, since it is smaller than the sum of its proper divisors (185777720).

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

132088960 is a wasteful number, since it uses less digits than its factorization.

132088960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 132088960 is about 11492.9961280773. The cubic root of 132088960 is about 509.2786932483.

The spelling of 132088960 in words is "one hundred thirty-two million, eighty-eight thousand, nine hundred sixty".