133297920 has 576 divisors, whose sum is σ = 588672000. Its totient is φ = 27869184.

The previous prime is 133297919. The next prime is 133297937. The reversal of 133297920 is 29792331.

It is a tau number, because it is divible by the number of its divisors (576).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4596466 + ... + 4596494.

It is an arithmetic number, because the mean of its divisors is an integer number (1022000).

Almost surely, 2^133297920 is an apocalyptic number.

133297920 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 133297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294336000).

133297920 is an abundant number, since it is smaller than the sum of its proper divisors (455374080).

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

133297920 is a wasteful number, since it uses less digits than its factorization.

133297920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 133297920 is about 11545.4718396435. The cubic root of 133297920 is about 510.8277216385.

The spelling of 133297920 in words is "one hundred thirty-three million, two hundred ninety-seven thousand, nine hundred twenty".