132856320 has 80 divisors (see below), whose sum is σ = 424749600. Its totient is φ = 35426304.

The previous prime is 132856289. The next prime is 132856327. The reversal of 132856320 is 23658231.

132856320 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (132856327) by changing a digit.

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, 970 + ... + 16329.

It is an arithmetic number, because the mean of its divisors is an integer number (5309370).

Almost surely, 2^132856320 is an apocalyptic number.

132856320 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 132856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212374800).

132856320 is an abundant number, since it is smaller than the sum of its proper divisors (291893280).

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

132856320 is an equidigital number, since it uses as much as digits as its factorization.

132856320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17325 (or 17309 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 132856320 is about 11526.3315933561. The cubic root of 132856320 is about 510.2629939230.

The spelling of 132856320 in words is "one hundred thirty-two million, eight hundred fifty-six thousand, three hundred twenty".