133984320 has 112 divisors (see below), whose sum is σ = 427939200. Its totient is φ = 35516416.

The previous prime is 133984309. The next prime is 133984349. The reversal of 133984320 is 23489331.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223381 + ... + 223979.

Almost surely, 2^133984320 is an apocalyptic number.

133984320 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 133984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213969600).

133984320 is an abundant number, since it is smaller than the sum of its proper divisors (293954880).

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

133984320 is a wasteful number, since it uses less digits than its factorization.

133984320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 133984320 is about 11575.1596101307. The cubic root of 133984320 is about 511.7030341699.

The spelling of 133984320 in words is "one hundred thirty-three million, nine hundred eighty-four thousand, three hundred twenty".