128054160 has 120 divisors (see below), whose sum is σ = 463163064. Its totient is φ = 31518720.

The previous prime is 128054141. The next prime is 128054161. The reversal of 128054160 is 61450821.

It can be written as a sum of positive squares in 4 ways, for example, as 18558864 + 109495296 = 4308^2 + 10464^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (128054161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2520 + ... + 16200.

Almost surely, 2^128054160 is an apocalyptic number.

128054160 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 128054160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231581532).

128054160 is an abundant number, since it is smaller than the sum of its proper divisors (335108904).

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

128054160 is a wasteful number, since it uses less digits than its factorization.

128054160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13713 (or 13704 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 128054160 is about 11316.1018022992. The cubic root of 128054160 is about 504.0394904809.

The spelling of 128054160 in words is "one hundred twenty-eight million, fifty-four thousand, one hundred sixty".