132007680 has 216 divisors, whose sum is σ = 522299232. Its totient is φ = 30154752.

The previous prime is 132007679. The next prime is 132007699. The reversal of 132007680 is 86700231.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 79822 + ... + 81458.

It is an arithmetic number, because the mean of its divisors is an integer number (2418052).

Almost surely, 2^132007680 is an apocalyptic number.

132007680 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 132007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261149616).

132007680 is an abundant number, since it is smaller than the sum of its proper divisors (390291552).

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

132007680 is a wasteful number, since it uses less digits than its factorization.

132007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 132007680 is about 11489.4595173141. The cubic root of 132007680 is about 509.1742114767.

The spelling of 132007680 in words is "one hundred thirty-two million, seven thousand, six hundred eighty".