133270580664 has 256 divisors, whose sum is σ = 404158272000. Its totient is φ = 40445153280.

The previous prime is 133270580617. The next prime is 133270580693. The reversal of 133270580664 is 466085072331.

133270580664 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 7 + 0 + 580 + 6 + 64 = 666.

It is a super-2 number, since 2×133270580664² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103229859 + ... + 103231149.

It is an arithmetic number, because the mean of its divisors is an integer number (1578743250).

Almost surely, 2^133270580664 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 133270580664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202079136000).

133270580664 is an abundant number, since it is smaller than the sum of its proper divisors (270887691336).

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

133270580664 is a wasteful number, since it uses less digits than its factorization.

133270580664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 133270580664 in words is "one hundred thirty-three billion, two hundred seventy million, five hundred eighty thousand, six hundred sixty-four".