133245200 has 90 divisors (see below), whose sum is σ = 351997002. Its totient is φ = 48435200.

The previous prime is 133245199. The next prime is 133245239. The reversal of 133245200 is 2542331.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 31719424 + 101525776 = 5632^2 + 10076^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47024 + ... + 49776.

Almost surely, 2^133245200 is an apocalyptic number.

133245200 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 133245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175998501).

133245200 is an abundant number, since it is smaller than the sum of its proper divisors (218751802).

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

133245200 is a wasteful number, since it uses less digits than its factorization.

133245200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2793 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 133245200 is about 11543.1884676635. The cubic root of 133245200 is about 510.7603677776.

Adding to 133245200 its reverse (2542331), we get a palindrome (135787531).

The spelling of 133245200 in words is "one hundred thirty-three million, two hundred forty-five thousand, two hundred".