133200210 has 128 divisors (see below), whose sum is σ = 382475520. Its totient is φ = 29260800.

The previous prime is 133200191. The next prime is 133200217. The reversal of 133200210 is 12002331.

133200210 = 236² + 237² + ... + 744².

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (133200217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 261436 + ... + 261944.

It is an arithmetic number, because the mean of its divisors is an integer number (2988090).

Almost surely, 2^133200210 is an apocalyptic number.

133200210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133200210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191237760).

133200210 is an abundant number, since it is smaller than the sum of its proper divisors (249275310).

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

133200210 is a wasteful number, since it uses less digits than its factorization.

133200210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 133200210 is about 11541.2395348160. The cubic root of 133200210 is about 510.7028755360.

Adding to 133200210 its reverse (12002331), we get a palindrome (145202541).

The spelling of 133200210 in words is "one hundred thirty-three million, two hundred thousand, two hundred ten".