133366200 has 192 divisors, whose sum is σ = 457470720. Its totient is φ = 32137600.

The previous prime is 133366193. The next prime is 133366201. The reversal of 133366200 is 2663331.

It is a super-4 number, since 4×133366200⁴ (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133366201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 798517 + ... + 798683.

It is an arithmetic number, because the mean of its divisors is an integer number (2382660).

Almost surely, 2^133366200 is an apocalyptic number.

133366200 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 133366200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228735360).

133366200 is an abundant number, since it is smaller than the sum of its proper divisors (324104520).

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

133366200 is a wasteful number, since it uses less digits than its factorization.

133366200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 133366200 is about 11548.4284645141. The cubic root of 133366200 is about 510.9149282082.

The spelling of 133366200 in words is "one hundred thirty-three million, three hundred sixty-six thousand, two hundred".