133335960 has 128 divisors (see below), whose sum is σ = 419420160. Its totient is φ = 33868800.

The previous prime is 133335953. The next prime is 133335967. The reversal of 133335960 is 69533331.

133335960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (133335953) and next prime (133335967).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133335967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271315 + ... + 271805.

It is an arithmetic number, because the mean of its divisors is an integer number (3276720).

Almost surely, 2^133335960 is an apocalyptic number.

133335960 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 133335960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209710080).

133335960 is an abundant number, since it is smaller than the sum of its proper divisors (286084200).

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

133335960 is a wasteful number, since it uses less digits than its factorization.

133335960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 33.

The square root of 133335960 is about 11547.1191212354. The cubic root of 133335960 is about 510.8763096394.

The spelling of 133335960 in words is "one hundred thirty-three million, three hundred thirty-five thousand, nine hundred sixty".