133366320 has 120 divisors (see below), whose sum is σ = 471510000. Its totient is φ = 33689088.

The previous prime is 133366291. The next prime is 133366369. The reversal of 133366320 is 23663331.

133366320 is a `hidden beast` number, since 1 + 3 + 336 + 6 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8806 + ... + 18554.

It is an arithmetic number, because the mean of its divisors is an integer number (3929250).

Almost surely, 2^133366320 is an apocalyptic number.

133366320 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 133366320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235755000).

133366320 is an abundant number, since it is smaller than the sum of its proper divisors (338143680).

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

133366320 is a wasteful number, since it uses less digits than its factorization.

133366320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9787 (or 9778 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 133366320 is about 11548.4336600251. The cubic root of 133366320 is about 510.9150814449.

The spelling of 133366320 in words is "one hundred thirty-three million, three hundred sixty-six thousand, three hundred twenty".