133400200 has 48 divisors (see below), whose sum is σ = 314438580. Its totient is φ = 52623360.

The previous prime is 133400191. The next prime is 133400209. The reversal of 133400200 is 2004331.

It is an interprime number because it is at equal distance from previous prime (133400191) and next prime (133400209).

It can be written as a sum of positive squares in 6 ways, for example, as 14546596 + 118853604 = 3814^2 + 10902^2 .

It is a super-2 number, since 2×133400200² = 35591226720080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133400209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10032 + ... + 19168.

Almost surely, 2^133400200 is an apocalyptic number.

133400200 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 133400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157219290).

133400200 is an abundant number, since it is smaller than the sum of its proper divisors (181038380).

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

133400200 is a wasteful number, since it uses less digits than its factorization.

133400200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9226 (or 9217 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 133400200 is about 11549.9004324713. The cubic root of 133400200 is about 510.9583415858.

Adding to 133400200 its reverse (2004331), we get a palindrome (135404531).

The spelling of 133400200 in words is "one hundred thirty-three million, four hundred thousand, two hundred".