133025200 has 180 divisors, whose sum is σ = 406226232. Its totient is φ = 41395200.

The previous prime is 133025183. The next prime is 133025203. The reversal of 133025200 is 2520331.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (133025203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 215292 + ... + 215908.

Almost surely, 2^133025200 is an apocalyptic number.

133025200 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 133025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203113116).

133025200 is an abundant number, since it is smaller than the sum of its proper divisors (273201032).

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

133025200 is a wasteful number, since it uses less digits than its factorization.

133025200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 133025200 is about 11533.6551014845. The cubic root of 133025200 is about 510.4791089141.

Adding to 133025200 its reverse (2520331), we get a palindrome (135545531).

It can be divided in two parts, 133025 and 200, that added together give a square (133225 = 365²).

The spelling of 133025200 in words is "one hundred thirty-three million, twenty-five thousand, two hundred".