133168320 has 112 divisors (see below), whose sum is σ = 469818720. Its totient is φ = 35509248.

The previous prime is 133168289. The next prime is 133168333. The reversal of 133168320 is 23861331.

It is a happy number.

133168320 is a `hidden beast` number, since 1 + 331 + 6 + 8 + 320 = 666.

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 15 ways as a sum of consecutive naturals, for example, 934 + ... + 16346.

It is an arithmetic number, because the mean of its divisors is an integer number (4194810).

Almost surely, 2^133168320 is an apocalyptic number.

133168320 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 133168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234909360).

133168320 is an abundant number, since it is smaller than the sum of its proper divisors (336650400).

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

133168320 is a wasteful number, since it uses less digits than its factorization.

133168320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15439 (or 15423 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 133168320 is about 11539.8578847402. The cubic root of 133168320 is about 510.6621158039.

The spelling of 133168320 in words is "one hundred thirty-three million, one hundred sixty-eight thousand, three hundred twenty".