133760057816 has 128 divisors (see below), whose sum is σ = 318974976000. Its totient is φ = 51071644800.

The previous prime is 133760057777. The next prime is 133760057833. The reversal of 133760057816 is 618750067331.

It is a super-3 number, since 3×133760057816³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12024305 + ... + 12035423.

It is an arithmetic number, because the mean of its divisors is an integer number (2491992000).

Almost surely, 2^133760057816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133760057816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159487488000).

133760057816 is an abundant number, since it is smaller than the sum of its proper divisors (185214918184).

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

133760057816 is a wasteful number, since it uses less digits than its factorization.

133760057816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11533 (or 11529 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 47.

The spelling of 133760057816 in words is "one hundred thirty-three billion, seven hundred sixty million, fifty-seven thousand, eight hundred sixteen".