132728960 has 256 divisors, whose sum is σ = 407151360. Its totient is φ = 40255488.

The previous prime is 132728951. The next prime is 132728971. The reversal of 132728960 is 69827231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2504294 + ... + 2504346.

It is an arithmetic number, because the mean of its divisors is an integer number (1590435).

Almost surely, 2^132728960 is an apocalyptic number.

132728960 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 132728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203575680).

132728960 is an abundant number, since it is smaller than the sum of its proper divisors (274422400).

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

132728960 is a wasteful number, since it uses less digits than its factorization.

132728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 132728960 is about 11520.8055273926. The cubic root of 132728960 is about 510.0998907246.

The spelling of 132728960 in words is "one hundred thirty-two million, seven hundred twenty-eight thousand, nine hundred sixty".