128158337728512 has 2304 divisors, whose sum is σ = 502690449945600. Its totient is φ = 31811765796864.

The previous prime is 128158337728511. The next prime is 128158337728513. The reversal of 128158337728512 is 215827733851821.

128158337728512 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 5 + 8 + 337 + 7 + 285 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (128158337728511) and next prime (128158337728513).

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (45158400) is a multiple of the sum of its prime divisors (42).

It is a self number, because there is not a number n which added to its sum of digits gives 128158337728512.

It is not an unprimeable number, because it can be changed into a prime (128158337728511) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7538725748728 + ... + 7538725748744.

It is an arithmetic number, because the mean of its divisors is an integer number (218181618900).

Almost surely, 2^{128158337728512} is an apocalyptic number.

128158337728512 is a gapful number since it is divisible by the number (12) 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 128158337728512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251345224972800).

128158337728512 is an abundant number, since it is smaller than the sum of its proper divisors (374532112217088).

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

128158337728512 is an frugal number, since it uses more digits than its factorization.

128158337728512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 42 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 63.

The spelling of 128158337728512 in words is "one hundred twenty-eight trillion, one hundred fifty-eight billion, three hundred thirty-seven million, seven hundred twenty-eight thousand, five hundred twelve".