133382208 has 56 divisors (see below), whose sum is σ = 354970080. Its totient is φ = 44200960.

The previous prime is 133382191. The next prime is 133382209. The reversal of 133382208 is 802283331.

It is not an unprimeable number, because it can be changed into a prime (133382209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32428 + ... + 36308.

Almost surely, 2^133382208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133382208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177485040).

133382208 is an abundant number, since it is smaller than the sum of its proper divisors (221587872).

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

133382208 is a wasteful number, since it uses less digits than its factorization.

133382208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4075 (or 4065 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 133382208 is about 11549.1215250338. The cubic root of 133382208 is about 510.9353691669.

The spelling of 133382208 in words is "one hundred thirty-three million, three hundred eighty-two thousand, two hundred eight".