125968 has 10 divisors (see below), whose sum is σ = 244094. Its totient is φ = 62976.

The previous prime is 125963. The next prime is 126001. The reversal of 125968 is 869521.

It can be written as a sum of positive squares in only one way, i.e., 73984 + 51984 = 272^2 + 228^2 .

It is not an unprimeable number, because it can be changed into a prime (125963) by changing a digit.

125968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3921 + ... + 3952.

2¹²⁵⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

125968 is a deficient number, since it is larger than the sum of its proper divisors (118126).

125968 is an equidigital number, since it uses as much as digits as its factorization.

125968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7881 (or 7875 counting only the distinct ones).

The product of its digits is 4320, while the sum is 31.

The square root of 125968 is about 354.9197092301. The cubic root of 125968 is about 50.1287349286.

The spelling of 125968 in words is "one hundred twenty-five thousand, nine hundred sixty-eight".