133568517312 has 168 divisors, whose sum is σ = 390528041904. Its totient is φ = 43631917056.

The previous prime is 133568517311. The next prime is 133568517317. The reversal of 133568517312 is 213715865331.

133568517312 is a `hidden beast` number, since 1 + 3 + 3 + 568 + 5 + 1 + 73 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (133568517311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33365103 + ... + 33369105.

It is an arithmetic number, because the mean of its divisors is an integer number (2324571678).

Almost surely, 2^133568517312 is an apocalyptic number.

133568517312 is a gapful number since it is divisible by the number (12) 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 133568517312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195264020952).

133568517312 is an abundant number, since it is smaller than the sum of its proper divisors (256959524592).

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

133568517312 is a wasteful number, since it uses less digits than its factorization.

133568517312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5167 (or 5154 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The spelling of 133568517312 in words is "one hundred thirty-three billion, five hundred sixty-eight million, five hundred seventeen thousand, three hundred twelve".