133088256 has 132 divisors (see below), whose sum is σ = 439400832. Its totient is φ = 38006784.

The previous prime is 133088243. The next prime is 133088261. The reversal of 133088256 is 652880331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 133088256.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63481 + ... + 65543.

Almost surely, 2^133088256 is an apocalyptic number.

133088256 is a gapful number since it is divisible by the number (16) 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 133088256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219700416).

133088256 is an abundant number, since it is smaller than the sum of its proper divisors (306312576).

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

133088256 is a wasteful number, since it uses less digits than its factorization.

133088256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 133088256 is about 11536.3883429781. The cubic root of 133088256 is about 510.5597545011.

The spelling of 133088256 in words is "one hundred thirty-three million, eighty-eight thousand, two hundred fifty-six".