133315200 has 192 divisors, whose sum is σ = 488212800. Its totient is φ = 35527680.

The previous prime is 133315187. The next prime is 133315211. The reversal of 133315200 is 2513331.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85629 + ... + 87171.

It is an arithmetic number, because the mean of its divisors is an integer number (2542775).

Almost surely, 2^133315200 is an apocalyptic number.

133315200 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 133315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244106400).

133315200 is an abundant number, since it is smaller than the sum of its proper divisors (354897600).

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

133315200 is a wasteful number, since it uses less digits than its factorization.

133315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 133315200 is about 11546.2201607279. The cubic root of 133315200 is about 510.8497943051.

Adding to 133315200 its reverse (2513331), we get a palindrome (135828531).

The spelling of 133315200 in words is "one hundred thirty-three million, three hundred fifteen thousand, two hundred".