133333200 has 720 divisors, whose sum is σ = 638042496. Its totient is φ = 24883200.

The previous prime is 133333199. The next prime is 133333223. The reversal of 133333200 is 2333331.

133333200 is a `hidden beast` number, since 1 + 333 + 332 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3603582 + ... + 3603618.

Almost surely, 2^133333200 is an apocalyptic number.

133333200 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 133333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319021248).

133333200 is an abundant number, since it is smaller than the sum of its proper divisors (504709296).

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

133333200 is a wasteful number, since it uses less digits than its factorization.

133333200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 133333200 is about 11546.9996102884. Note that the first 3 decimals coincide. The cubic root of 133333200 is about 510.8727846380.

Adding to 133333200 its reverse (2333331), we get a palindrome (135666531).

It can be divided in two parts, 133 and 333200, that added together give a palindrome (333333).

The spelling of 133333200 in words is "one hundred thirty-three million, three hundred thirty-three thousand, two hundred".