128055168 has 192 divisors, whose sum is σ = 400982400. Its totient is φ = 40601088.

The previous prime is 128055167. The next prime is 128055181. The reversal of 128055168 is 861550821.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128055163) 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, 715303 + ... + 715481.

It is an arithmetic number, because the mean of its divisors is an integer number (2088450).

Almost surely, 2^128055168 is an apocalyptic number.

128055168 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 128055168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200491200).

128055168 is an abundant number, since it is smaller than the sum of its proper divisors (272927232).

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

128055168 is an equidigital number, since it uses as much as digits as its factorization.

128055168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 128055168 is about 11316.1463405172. The cubic root of 128055168 is about 504.0408130215.

The spelling of 128055168 in words is "one hundred twenty-eight million, fifty-five thousand, one hundred sixty-eight".