128125827749160 has 96 divisors (see below), whose sum is σ = 416449804553640. Its totient is φ = 34163534426112.

The previous prime is 128125827749159. The next prime is 128125827749203. The reversal of 128125827749160 is 61947728521821.

128125827749160 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 2 + 5 + 82 + 7 + 7 + 491 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 92821624822404 + 35304202926756 = 9634398^2 + 5941734^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13788829 + ... + 21127788.

Almost surely, 2^{128125827749160} is an apocalyptic number.

128125827749160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128125827749160 is an abundant number, since it is smaller than the sum of its proper divisors (288323976804480).

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

128125827749160 is a wasteful number, since it uses less digits than its factorization.

128125827749160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34926827 (or 34926820 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 128125827749160 in words is "one hundred twenty-eight trillion, one hundred twenty-five billion, eight hundred twenty-seven million, seven hundred forty-nine thousand, one hundred sixty".