127168128 has 96 divisors (see below), whose sum is σ = 372340800. Its totient is φ = 41648640.

The previous prime is 127168099. The next prime is 127168133. The reversal of 127168128 is 821861721.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 127168092 and 127168101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67033 + ... + 68903.

It is an arithmetic number, because the mean of its divisors is an integer number (3878550).

Almost surely, 2^127168128 is an apocalyptic number.

127168128 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 127168128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186170400).

127168128 is an abundant number, since it is smaller than the sum of its proper divisors (245172672).

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

127168128 is a wasteful number, since it uses less digits than its factorization.

127168128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1935 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 127168128 is about 11276.8846761861. The cubic root of 127168128 is about 502.8742826704.

The spelling of 127168128 in words is "one hundred twenty-seven million, one hundred sixty-eight thousand, one hundred twenty-eight".