133858720 has 48 divisors (see below), whose sum is σ = 317284128. Its totient is φ = 53367040.

The previous prime is 133858709. The next prime is 133858723. The reversal of 133858720 is 27858331.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 133858720.

It is not an unprimeable number, because it can be changed into a prime (133858723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54315 + ... + 56725.

It is an arithmetic number, because the mean of its divisors is an integer number (6610086).

Almost surely, 2^133858720 is an apocalyptic number.

133858720 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 133858720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158642064).

133858720 is an abundant number, since it is smaller than the sum of its proper divisors (183425408).

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

133858720 is a wasteful number, since it uses less digits than its factorization.

133858720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 133858720 is about 11569.7329269089. The cubic root of 133858720 is about 511.5430900953.

The spelling of 133858720 in words is "one hundred thirty-three million, eight hundred fifty-eight thousand, seven hundred twenty".