128133641923584 has 352 divisors, whose sum is σ = 387914423887872. Its totient is φ = 37260312576000.

The previous prime is 128133641923577. The next prime is 128133641923663. The reversal of 128133641923584 is 485329146331821.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83755729 + ... + 85271855.

Almost surely, 2^{128133641923584} 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 128133641923584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193957211943936).

128133641923584 is an abundant number, since it is smaller than the sum of its proper divisors (259780781964288).

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

128133641923584 is a wasteful number, since it uses less digits than its factorization.

128133641923584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516263 (or 1516245 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 60.

The spelling of 128133641923584 in words is "one hundred twenty-eight trillion, one hundred thirty-three billion, six hundred forty-one million, nine hundred twenty-three thousand, five hundred eighty-four".