125726128 has 40 divisors (see below), whose sum is σ = 271411200. Its totient is φ = 55928640.

The previous prime is 125726099. The next prime is 125726129. The reversal of 125726128 is 821627521.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 125726093 and 125726102.

It is not an unprimeable number, because it can be changed into a prime (125726129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 673 + ... + 15871.

It is an arithmetic number, because the mean of its divisors is an integer number (6785280).

Almost surely, 2^125726128 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 125726128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135705600).

125726128 is an abundant number, since it is smaller than the sum of its proper divisors (145685072).

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

125726128 is a wasteful number, since it uses less digits than its factorization.

125726128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15265 (or 15259 counting only the distinct ones).

The product of its digits is 13440, while the sum is 34.

The square root of 125726128 is about 11212.7662956114. The cubic root of 125726128 is about 500.9663019846.

The spelling of 125726128 in words is "one hundred twenty-five million, seven hundred twenty-six thousand, one hundred twenty-eight".