133276700875392 has 640 divisors, whose sum is σ = 432297803520000. Its totient is φ = 40598782156800.

The previous prime is 133276700875361. The next prime is 133276700875393. The reversal of 133276700875392 is 293578007672331.

133276700875392 is a `hidden beast` number, since 1 + 3 + 3 + 27 + 6 + 70 + 0 + 8 + 7 + 539 + 2 = 666.

It is a super-2 number, since 2×133276700875392² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133276700875393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6575385834 + ... + 6575406102.

It is an arithmetic number, because the mean of its divisors is an integer number (675465318000).

Almost surely, 2^{133276700875392} is an apocalyptic number.

133276700875392 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 133276700875392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216148901760000).

133276700875392 is an abundant number, since it is smaller than the sum of its proper divisors (299021102644608).

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

133276700875392 is a wasteful number, since it uses less digits than its factorization.

133276700875392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21494 (or 21473 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 63.

The spelling of 133276700875392 in words is "one hundred thirty-three trillion, two hundred seventy-six billion, seven hundred million, eight hundred seventy-five thousand, three hundred ninety-two".