133716283200 has 252 divisors, whose sum is σ = 488106031660. Its totient is φ = 34693816320.

The previous prime is 133716283187. The next prime is 133716283229. The reversal of 133716283200 is 2382617331.

133716283200 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 1 + 628 + 3 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2138877504 + 131577405696 = 46248^2 + 362736^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 407316 + ... + 658284.

Almost surely, 2^133716283200 is an apocalyptic number.

133716283200 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 133716283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244053015830).

133716283200 is an abundant number, since it is smaller than the sum of its proper divisors (354389748460).

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

133716283200 is a wasteful number, since it uses less digits than its factorization.

133716283200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251034 (or 251016 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 133716283200 in words is "one hundred thirty-three billion, seven hundred sixteen million, two hundred eighty-three thousand, two hundred".