133505200 has 60 divisors (see below), whose sum is σ = 326240280. Its totient is φ = 52487680.

The previous prime is 133505173. The next prime is 133505227. The reversal of 133505200 is 2505331.

It is an interprime number because it is at equal distance from previous prime (133505173) and next prime (133505227).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20772 + ... + 26428.

It is an arithmetic number, because the mean of its divisors is an integer number (5437338).

Almost surely, 2^133505200 is an apocalyptic number.

133505200 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 133505200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163120140).

133505200 is an abundant number, since it is smaller than the sum of its proper divisors (192735080).

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

133505200 is a wasteful number, since it uses less digits than its factorization.

133505200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5734 (or 5723 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 133505200 is about 11554.4450321078. The cubic root of 133505200 is about 511.0923657621.

The spelling of 133505200 in words is "one hundred thirty-three million, five hundred five thousand, two hundred".