125829128 has 16 divisors (see below), whose sum is σ = 237295980. Its totient is φ = 62550208.

The previous prime is 125829103. The next prime is 125829139. The reversal of 125829128 is 821928521.

It can be written as a sum of positive squares in 2 ways, for example, as 111555844 + 14273284 = 10562^2 + 3778^2 .

It is a junction number, because it is equal to n+sod(n) for n = 125829091 and 125829100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44075 + ... + 46842.

Almost surely, 2^125829128 is an apocalyptic number.

It is an amenable number.

125829128 is a deficient number, since it is larger than the sum of its proper divisors (111466852).

125829128 is a wasteful number, since it uses less digits than its factorization.

125829128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91096 (or 91092 counting only the distinct ones).

The product of its digits is 23040, while the sum is 38.

The square root of 125829128 is about 11217.3583342960. The cubic root of 125829128 is about 501.1030686894.

The spelling of 125829128 in words is "one hundred twenty-five million, eight hundred twenty-nine thousand, one hundred twenty-eight".