128146436928 has 336 divisors, whose sum is σ = 397368491520. Its totient is φ = 39353029632.

The previous prime is 128146436927. The next prime is 128146436941. The reversal of 128146436928 is 829634641821.

128146436928 is a `hidden beast` number, since 1 + 2 + 81 + 46 + 436 + 92 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128146436923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144471301 + ... + 144472187.

It is an arithmetic number, because the mean of its divisors is an integer number (1182644320).

Almost surely, 2^128146436928 is an apocalyptic number.

128146436928 is a gapful number since it is divisible by the number (18) 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 128146436928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198684245760).

128146436928 is an abundant number, since it is smaller than the sum of its proper divisors (269222054592).

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

128146436928 is a wasteful number, since it uses less digits than its factorization.

128146436928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1261 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 128146436928 in words is "one hundred twenty-eight billion, one hundred forty-six million, four hundred thirty-six thousand, nine hundred twenty-eight".