133565760 has 140 divisors (see below), whose sum is σ = 475209108. Its totient is φ = 35610624.

The previous prime is 133565759. The next prime is 133565791. The reversal of 133565760 is 67565331.

It is a happy number.

133565760 is a `hidden beast` number, since 1 + 33 + 56 + 576 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66194496 + 67371264 = 8136^2 + 8208^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23344 + ... + 28496.

Almost surely, 2^133565760 is an apocalyptic number.

133565760 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 133565760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237604554).

133565760 is an abundant number, since it is smaller than the sum of its proper divisors (341643348).

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

133565760 is an equidigital number, since it uses as much as digits as its factorization.

133565760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5182 (or 5163 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 133565760 is about 11557.0653714514. The cubic root of 133565760 is about 511.1696338505.

The spelling of 133565760 in words is "one hundred thirty-three million, five hundred sixty-five thousand, seven hundred sixty".