128717747136 has 448 divisors, whose sum is σ = 422479134720. Its totient is φ = 38102400000.

The previous prime is 128717747117. The next prime is 128717747251. The reversal of 128717747136 is 631747717821.

128717747136 is a `hidden beast` number, since 1 + 2 + 8 + 71 + 77 + 471 + 36 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 171394761 + ... + 171395511.

Almost surely, 2^128717747136 is an apocalyptic number.

128717747136 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 128717747136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211239567360).

128717747136 is an abundant number, since it is smaller than the sum of its proper divisors (293761387584).

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

128717747136 is a wasteful number, since it uses less digits than its factorization.

128717747136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 965 counting only the distinct ones).

The product of its digits is 2765952, while the sum is 54.

The spelling of 128717747136 in words is "one hundred twenty-eight billion, seven hundred seventeen million, seven hundred forty-seven thousand, one hundred thirty-six".