125276128 has 48 divisors (see below), whose sum is σ = 262244304. Its totient is φ = 58705920.

The previous prime is 125276089. The next prime is 125276141. The reversal of 125276128 is 821672521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 125276093 and 125276102.

It is a congruent number.

It is an unprimeable number.

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, 228751 + ... + 229297.

It is an arithmetic number, because the mean of its divisors is an integer number (5463423).

Almost surely, 2^125276128 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 125276128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131122152).

125276128 is an abundant number, since it is smaller than the sum of its proper divisors (136968176).

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

125276128 is a wasteful number, since it uses less digits than its factorization.

125276128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 987 counting only the distinct ones).

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

The square root of 125276128 is about 11192.6818948811. The cubic root of 125276128 is about 500.3678998996.

The spelling of 125276128 in words is "one hundred twenty-five million, two hundred seventy-six thousand, one hundred twenty-eight".