126160128 has 108 divisors (see below), whose sum is σ = 385267428. Its totient is φ = 39567360.

The previous prime is 126160127. The next prime is 126160147. The reversal of 126160128 is 821061621.

It can be written as a sum of positive squares in 2 ways, for example, as 97772544 + 28387584 = 9888^2 + 5328^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126160123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37558 + ... + 40778.

It is an arithmetic number, because the mean of its divisors is an integer number (3567291).

Almost surely, 2^126160128 is an apocalyptic number.

126160128 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 126160128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192633714).

126160128 is an abundant number, since it is smaller than the sum of its proper divisors (259107300).

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

126160128 is a wasteful number, since it uses less digits than its factorization.

126160128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3260 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 126160128 is about 11232.1025636343. The cubic root of 126160128 is about 501.5420764444.

The spelling of 126160128 in words is "one hundred twenty-six million, one hundred sixty thousand, one hundred twenty-eight".