133515200 has 252 divisors, whose sum is σ = 414707832. Its totient is φ = 41932800.

The previous prime is 133515163. The next prime is 133515241. The reversal of 133515200 is 2515331.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1019135 + ... + 1019265.

It is an arithmetic number, because the mean of its divisors is an integer number (1645666).

Almost surely, 2^133515200 is an apocalyptic number.

133515200 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 133515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207353916).

133515200 is an abundant number, since it is smaller than the sum of its proper divisors (281192632).

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

133515200 is a wasteful number, since it uses less digits than its factorization.

133515200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 133515200 is about 11554.8777578995. The cubic root of 133515200 is about 511.1051263039.

It can be divided in two parts, 13 and 3515200, that multiplied together give a square (45697600 = 6760²).

The spelling of 133515200 in words is "one hundred thirty-three million, five hundred fifteen thousand, two hundred".