133029960 has 256 divisors, whose sum is σ = 486604800. Its totient is φ = 28449792.

The previous prime is 133029889. The next prime is 133029973. The reversal of 133029960 is 69920331.

133029960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1047417 + ... + 1047543.

It is an arithmetic number, because the mean of its divisors is an integer number (1900800).

Almost surely, 2^133029960 is an apocalyptic number.

133029960 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 133029960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243302400).

133029960 is an abundant number, since it is smaller than the sum of its proper divisors (353574840).

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

133029960 is a wasteful number, since it uses less digits than its factorization.

133029960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 133029960 is about 11533.8614522631. The cubic root of 133029960 is about 510.4851976140.

The spelling of 133029960 in words is "one hundred thirty-three million, twenty-nine thousand, nine hundred sixty".