133568160 has 192 divisors, whose sum is σ = 470945664. Its totient is φ = 31539200.

The previous prime is 133568137. The next prime is 133568161. The reversal of 133568160 is 61865331.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (133568161) 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, 216172 + ... + 216788.

It is an arithmetic number, because the mean of its divisors is an integer number (2452842).

Almost surely, 2^133568160 is an apocalyptic number.

133568160 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 133568160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235472832).

133568160 is an abundant number, since it is smaller than the sum of its proper divisors (337377504).

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

133568160 is a wasteful number, since it uses less digits than its factorization.

133568160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 133568160 is about 11557.1692035723. The cubic root of 133568160 is about 511.1726955129.

The spelling of 133568160 in words is "one hundred thirty-three million, five hundred sixty-eight thousand, one hundred sixty".