133309920 has 216 divisors, whose sum is σ = 460934712. Its totient is φ = 32378880.

The previous prime is 133309877. The next prime is 133309961. The reversal of 133309920 is 29903331.

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 35 ways as a sum of consecutive naturals, for example, 4300305 + ... + 4300335.

It is an arithmetic number, because the mean of its divisors is an integer number (2133957).

Almost surely, 2^133309920 is an apocalyptic number.

133309920 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 133309920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230467356).

133309920 is an abundant number, since it is smaller than the sum of its proper divisors (327624792).

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

133309920 is a wasteful number, since it uses less digits than its factorization.

133309920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 30.

The square root of 133309920 is about 11545.9915122089. The cubic root of 133309920 is about 510.8430500816.

Multiplying 133309920 by its sum of digits (30), we get a square (3999297600 = 63240²).

133309920 divided by its sum of digits (30) gives a square (4443664 = 2108²).

The spelling of 133309920 in words is "one hundred thirty-three million, three hundred nine thousand, nine hundred twenty".