133507920 has 160 divisors (see below), whose sum is σ = 509467392. Its totient is φ = 28164096.

The previous prime is 133507897. The next prime is 133507981. The reversal of 133507920 is 29705331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18784 + ... + 24896.

Almost surely, 2^133507920 is an apocalyptic number.

133507920 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 133507920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254733696).

133507920 is an abundant number, since it is smaller than the sum of its proper divisors (375959472).

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

133507920 is a wasteful number, since it uses less digits than its factorization.

133507920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6149 (or 6143 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 133507920 is about 11554.5627351276. The cubic root of 133507920 is about 511.0958366926.

The spelling of 133507920 in words is "one hundred thirty-three million, five hundred seven thousand, nine hundred twenty".