128751168 has 112 divisors (see below), whose sum is σ = 419323520. Its totient is φ = 33951744.

The previous prime is 128751143. The next prime is 128751169. The reversal of 128751168 is 861157821.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×128751168² = 33153726522728448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (128751169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13788 + ... + 21156.

It is an arithmetic number, because the mean of its divisors is an integer number (3743960).

Almost surely, 2^128751168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128751168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209661760).

128751168 is an abundant number, since it is smaller than the sum of its proper divisors (290572352).

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

128751168 is a wasteful number, since it uses less digits than its factorization.

128751168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7404 (or 7394 counting only the distinct ones).

The product of its digits is 26880, while the sum is 39.

The square root of 128751168 is about 11346.8571860229. The cubic root of 128751168 is about 504.9523439655.

The spelling of 128751168 in words is "one hundred twenty-eight million, seven hundred fifty-one thousand, one hundred sixty-eight".