128133257616 has 640 divisors, whose sum is σ = 504567705600. Its totient is φ = 30128578560.

The previous prime is 128133257587. The next prime is 128133257617. The reversal of 128133257616 is 616752331821.

It is a happy number.

128133257616 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 3 + 3 + 25 + 7 + 616 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (128133257617) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 12692731 + ... + 12702821.

It is an arithmetic number, because the mean of its divisors is an integer number (788387040).

Almost surely, 2^128133257616 is an apocalyptic number.

128133257616 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 128133257616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252283852800).

128133257616 is an abundant number, since it is smaller than the sum of its proper divisors (376434447984).

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

128133257616 is a wasteful number, since it uses less digits than its factorization.

128133257616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10164 (or 10152 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 128133257616 in words is "one hundred twenty-eight billion, one hundred thirty-three million, two hundred fifty-seven thousand, six hundred sixteen".