125648 has 10 divisors (see below), whose sum is σ = 243474. Its totient is φ = 62816.

The previous prime is 125641. The next prime is 125651. The reversal of 125648 is 846521.

It can be written as a sum of positive squares in only one way, i.e., 71824 + 53824 = 268^2 + 232^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 125648.

It is not an unprimeable number, because it can be changed into a prime (125641) by changing a digit.

125648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3911 + ... + 3942.

125648 is a Friedman number, since it can be written as 8*(5^6+(2+1)^4), using all its digits and the basic arithmetic operations.

2¹²⁵⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

125648 is a deficient number, since it is larger than the sum of its proper divisors (117826).

125648 is an equidigital number, since it uses as much as digits as its factorization.

125648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7861 (or 7855 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 125648 is about 354.4686163823. The cubic root of 125648 is about 50.0862511293.

It can be divided in two parts, 12 and 5648, that multiplied together give a palindrome (67776).

The spelling of 125648 in words is "one hundred twenty-five thousand, six hundred forty-eight".