133384320 has 320 divisors, whose sum is σ = 497629440. Its totient is φ = 34007040.

The previous prime is 133384319. The next prime is 133384333. The reversal of 133384320 is 23483331.

133384320 is a `hidden beast` number, since 1 + 3 + 338 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1606999 + ... + 1607081.

It is an arithmetic number, because the mean of its divisors is an integer number (1555092).

Almost surely, 2^133384320 is an apocalyptic number.

133384320 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 133384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248814720).

133384320 is an abundant number, since it is smaller than the sum of its proper divisors (364245120).

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

133384320 is an equidigital number, since it uses as much as digits as its factorization.

133384320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 133384320 is about 11549.2129601978. The cubic root of 133384320 is about 510.9380659029.

The spelling of 133384320 in words is "one hundred thirty-three million, three hundred eighty-four thousand, three hundred twenty".