133128960 has 144 divisors (see below), whose sum is σ = 437138016. Its totient is φ = 34504704.

The previous prime is 133128913. The next prime is 133129033. The reversal of 133128960 is 69821331.

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, 141612 + ... + 142548.

Almost surely, 2^133128960 is an apocalyptic number.

133128960 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 133128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218569008).

133128960 is an abundant number, since it is smaller than the sum of its proper divisors (304009056).

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

133128960 is an equidigital number, since it uses as much as digits as its factorization.

133128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 133128960 is about 11538.1523650886. The cubic root of 133128960 is about 510.6117994287.

The spelling of 133128960 in words is "one hundred thirty-three million, one hundred twenty-eight thousand, nine hundred sixty".