132970880 has 128 divisors (see below), whose sum is σ = 369550080. Its totient is φ = 44808192.

The previous prime is 132970867. The next prime is 132970891. The reversal of 132970880 is 88079231.

132970880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299939 + ... + 300381.

It is an arithmetic number, because the mean of its divisors is an integer number (2887110).

Almost surely, 2^132970880 is an apocalyptic number.

132970880 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 132970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184775040).

132970880 is an abundant number, since it is smaller than the sum of its proper divisors (236579200).

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

132970880 is an equidigital number, since it uses as much as digits as its factorization.

132970880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 132970880 is about 11531.3000134417. The cubic root of 132970880 is about 510.4096158145.

The spelling of 132970880 in words is "one hundred thirty-two million, nine hundred seventy thousand, eight hundred eighty".