133383120 has 80 divisors (see below), whose sum is σ = 445304832. Its totient is φ = 32832000.

The previous prime is 133383101. The next prime is 133383163. The reversal of 133383120 is 21383331.

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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18256 + ... + 24495.

Almost surely, 2^133383120 is an apocalyptic number.

133383120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133383120 is an abundant number, since it is smaller than the sum of its proper divisors (311921712).

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

133383120 is a wasteful number, since it uses less digits than its factorization.

133383120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42780 (or 42774 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 133383120 is about 11549.1610084889. The cubic root of 133383120 is about 510.9365336700.

The spelling of 133383120 in words is "one hundred thirty-three million, three hundred eighty-three thousand, one hundred twenty".