133210400 has 72 divisors (see below), whose sum is σ = 329799204. Its totient is φ = 52531200.

The previous prime is 133210393. The next prime is 133210403. The reversal of 133210400 is 4012331.

It can be written as a sum of positive squares in 6 ways, for example, as 59043856 + 74166544 = 7684^2 + 8612^2 .

It is not an unprimeable number, because it can be changed into a prime (133210403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57260 + ... + 59540.

Almost surely, 2^133210400 is an apocalyptic number.

133210400 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 133210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164899602).

133210400 is an abundant number, since it is smaller than the sum of its proper divisors (196588804).

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

133210400 is a wasteful number, since it uses less digits than its factorization.

133210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 133210400 is about 11541.6809867541. The cubic root of 133210400 is about 510.7158983623.

Adding to 133210400 its reverse (4012331), we get a palindrome (137222731).

The spelling of 133210400 in words is "one hundred thirty-three million, two hundred ten thousand, four hundred".