133852320 has 288 divisors, whose sum is σ = 534643200. Its totient is φ = 30481920.

The previous prime is 133852309. The next prime is 133852333. The reversal of 133852320 is 23258331.

133852320 is a `hidden beast` number, since 1 + 338 + 5 + 2 + 320 = 666.

133852320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493785 + ... + 494055.

It is an arithmetic number, because the mean of its divisors is an integer number (1856400).

Almost surely, 2^133852320 is an apocalyptic number.

133852320 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 133852320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267321600).

133852320 is an abundant number, since it is smaller than the sum of its proper divisors (400790880).

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

133852320 is a wasteful number, since it uses less digits than its factorization.

133852320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 133852320 is about 11569.4563398632. The cubic root of 133852320 is about 511.5349374003.

The spelling of 133852320 in words is "one hundred thirty-three million, eight hundred fifty-two thousand, three hundred twenty".