133438320 has 160 divisors (see below), whose sum is σ = 463660800. Its totient is φ = 35271936.

The previous prime is 133438289. The next prime is 133438337. The reversal of 133438320 is 23834331.

133438320 is a `hidden beast` number, since 1 + 334 + 3 + 8 + 320 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351891 + ... + 352269.

It is an arithmetic number, because the mean of its divisors is an integer number (2897880).

Almost surely, 2^133438320 is an apocalyptic number.

133438320 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 133438320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231830400).

133438320 is an abundant number, since it is smaller than the sum of its proper divisors (330222480).

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

133438320 is a wasteful number, since it uses less digits than its factorization.

133438320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 552 counting only the distinct ones).

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

The square root of 133438320 is about 11551.5505452731. The cubic root of 133438320 is about 511.0070068726.

The spelling of 133438320 in words is "one hundred thirty-three million, four hundred thirty-eight thousand, three hundred twenty".