128910160 has 40 divisors (see below), whose sum is σ = 300192840. Its totient is φ = 51482112.

The previous prime is 128910113. The next prime is 128910161. The reversal of 128910160 is 61019821.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11751184 + 117158976 = 3428^2 + 10824^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128910161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87994 + ... + 89446.

It is an arithmetic number, because the mean of its divisors is an integer number (7504821).

Almost surely, 2^128910160 is an apocalyptic number.

128910160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128910160 is an abundant number, since it is smaller than the sum of its proper divisors (171282680).

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

128910160 is a wasteful number, since it uses less digits than its factorization.

128910160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 28.

The square root of 128910160 is about 11353.8610172928. The cubic root of 128910160 is about 505.1601100004.

Adding to 128910160 its reverse (61019821), we get a palindrome (189929981).

It can be divided in two parts, 1289 and 10160, that added together give a square (11449 = 107²).

The spelling of 128910160 in words is "one hundred twenty-eight million, nine hundred ten thousand, one hundred sixty".