133135920 has 80 divisors (see below), whose sum is σ = 458586720. Its totient is φ = 35502336.

The previous prime is 133135909. The next prime is 133135921. The reversal of 133135920 is 29531331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (133135921) 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, 28659 + ... + 32978.

It is an arithmetic number, because the mean of its divisors is an integer number (5732334).

Almost surely, 2^133135920 is an apocalyptic number.

133135920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133135920 is an abundant number, since it is smaller than the sum of its proper divisors (325450800).

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

133135920 is a wasteful number, since it uses less digits than its factorization.

133135920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61659 (or 61647 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 133135920 is about 11538.4539692283. The cubic root of 133135920 is about 510.6206975583.

The spelling of 133135920 in words is "one hundred thirty-three million, one hundred thirty-five thousand, nine hundred twenty".