133000200 has 144 divisors (see below), whose sum is σ = 458960580. Its totient is φ = 34490880.

The previous prime is 133000193. The next prime is 133000201. The reversal of 133000200 is 2000331.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 37234404 + 95765796 = 6102^2 + 9786^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (133000201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65602 + ... + 67598.

Almost surely, 2^133000200 is an apocalyptic number.

133000200 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 133000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229480290).

133000200 is an abundant number, since it is smaller than the sum of its proper divisors (325960380).

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

133000200 is a wasteful number, since it uses less digits than its factorization.

133000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 133000200 is about 11532.5712657672. The cubic root of 133000200 is about 510.4471280631.

Adding to 133000200 its reverse (2000331), we get a palindrome (135000531).

The spelling of 133000200 in words is "one hundred thirty-three million, two hundred", and thus it is an aban number.