128709134254080 has 864 divisors, whose sum is σ = 453907189532160. Its totient is φ = 33733025464320.

The previous prime is 128709134254067. The next prime is 128709134254093. The reversal of 128709134254080 is 80452431907821.

128709134254080 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 0 + 9 + 13 + 4 + 2 + 540 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (128709134254067) and next prime (128709134254093).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130935029269 + ... + 130935030251.

It is an arithmetic number, because the mean of its divisors is an integer number (525355543440).

Almost surely, 2^{128709134254080} is an apocalyptic number.

128709134254080 is a gapful number since it is divisible by the number (10) 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 128709134254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226953594766080).

128709134254080 is an abundant number, since it is smaller than the sum of its proper divisors (325198055278080).

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

128709134254080 is an frugal number, since it uses more digits than its factorization.

128709134254080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 128709134254080 in words is "one hundred twenty-eight trillion, seven hundred nine billion, one hundred thirty-four million, two hundred fifty-four thousand, eighty".