133288623168576 has 112 divisors (see below), whose sum is σ = 354465038592000. Its totient is φ = 44202111478272.

The previous prime is 133288623168559. The next prime is 133288623168629. The reversal of 133288623168576 is 675861326882331.

It is a super-2 number, since 2×133288623168576² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133288623168576.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 419326761 + ... + 419644503.

It is an arithmetic number, because the mean of its divisors is an integer number (3164866416000).

Almost surely, 2^{133288623168576} is an apocalyptic number.

133288623168576 is a gapful number since it is divisible by the number (16) 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 133288623168576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177232519296000).

133288623168576 is an abundant number, since it is smaller than the sum of its proper divisors (221176415423424).

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

133288623168576 is a wasteful number, since it uses less digits than its factorization.

133288623168576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328936 (or 328926 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 69.

The spelling of 133288623168576 in words is "one hundred thirty-three trillion, two hundred eighty-eight billion, six hundred twenty-three million, one hundred sixty-eight thousand, five hundred seventy-six".