133395360 has 288 divisors, whose sum is σ = 510572160. Its totient is φ = 28643328.

The previous prime is 133395337. The next prime is 133395391. The reversal of 133395360 is 63593331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3605262 + ... + 3605298.

It is an arithmetic number, because the mean of its divisors is an integer number (1772820).

Almost surely, 2^133395360 is an apocalyptic number.

133395360 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 133395360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255286080).

133395360 is an abundant number, since it is smaller than the sum of its proper divisors (377176800).

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

133395360 is a wasteful number, since it uses less digits than its factorization.

133395360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 83 counting only the distinct ones).

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

The square root of 133395360 is about 11549.6909049550. The cubic root of 133395360 is about 510.9521620141.

The spelling of 133395360 in words is "one hundred thirty-three million, three hundred ninety-five thousand, three hundred sixty".