133772200 has 72 divisors (see below), whose sum is σ = 317850750. Its totient is φ = 52356480.

The previous prime is 133772189. The next prime is 133772203. The reversal of 133772200 is 2277331.

It can be written as a sum of positive squares in 3 ways, for example, as 71267364 + 62504836 = 8442^2 + 7906^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (133772203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 897726 + ... + 897874.

Almost surely, 2^133772200 is an apocalyptic number.

133772200 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 133772200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158925375).

133772200 is an abundant number, since it is smaller than the sum of its proper divisors (184078550).

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

133772200 is a wasteful number, since it uses less digits than its factorization.

133772200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 25.

The square root of 133772200 is about 11565.9932560935. The cubic root of 133772200 is about 511.4328538522.

It can be divided in two parts, 1337 and 72200, that added together give a palindrome (73537).

The spelling of 133772200 in words is "one hundred thirty-three million, seven hundred seventy-two thousand, two hundred".