126125 has 8 divisors (see below), whose sum is σ = 157560. Its totient is φ = 100800.

The previous prime is 126107. The next prime is 126127. The reversal of 126125 is 521621.

It can be written as a sum of positive squares in 4 ways, for example, as 11881 + 114244 = 109^2 + 338^2 .

It is not a de Polignac number, because 126125 - 2¹⁰ = 125101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 380 + ... + 629.

It is an arithmetic number, because the mean of its divisors is an integer number (19695).

2¹²⁶¹²⁵ is an apocalyptic number.

It is an amenable number.

126125 is a deficient number, since it is larger than the sum of its proper divisors (31435).

126125 is an equidigital number, since it uses as much as digits as its factorization.

126125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1014 counting only the distinct ones).

The product of its digits is 120, while the sum is 17.

The square root of 126125 is about 355.1408171416. The cubic root of 126125 is about 50.1495522366.

Adding to 126125 its reverse (521621), we get a palindrome (647746).

The spelling of 126125 in words is "one hundred twenty-six thousand, one hundred twenty-five".