133258560 has 112 divisors (see below), whose sum is σ = 426817536. Its totient is φ = 35223552.

The previous prime is 133258501. The next prime is 133258561. The reversal of 133258560 is 65852331.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133258561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121374 + ... + 122466.

Almost surely, 2^133258560 is an apocalyptic number.

133258560 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 133258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213408768).

133258560 is an abundant number, since it is smaller than the sum of its proper divisors (293558976).

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

133258560 is a wasteful number, since it uses less digits than its factorization.

133258560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 133258560 is about 11543.7671494188. The cubic root of 133258560 is about 510.7774378871. Note that the first 3 decimals are identical.

The spelling of 133258560 in words is "one hundred thirty-three million, two hundred fifty-eight thousand, five hundred sixty".