6133683075200 has 72 divisors (see below), whose sum is σ = 15152460068415. Its totient is φ = 2453417190400.

The previous prime is 6133683075151. The next prime is 6133683075203. The reversal of 6133683075200 is 25703863316.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 5794111153216 + 339571921984 = 2407096^2 + 582728^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1751240.

It is not an unprimeable number, because it can be changed into a prime (6133683075203) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 140077310 + ... + 140121090.

Almost surely, 2^{6133683075200} is an apocalyptic number.

It is an amenable number.

6133683075200 is an abundant number, since it is smaller than the sum of its proper divisors (9018776993215).

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

6133683075200 is an frugal number, since it uses more digits than its factorization.

6133683075200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87586 (or 43788 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 44.

The spelling of 6133683075200 in words is "six trillion, one hundred thirty-three billion, six hundred eighty-three million, seventy-five thousand, two hundred".