125948 has 18 divisors (see below), whose sum is σ = 236376. Its totient is φ = 58608.

The previous prime is 125941. The next prime is 125959. The reversal of 125948 is 849521.

125948 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 125948.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125941) by changing a digit.

125948 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 (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3386 + ... + 3422.

It is an arithmetic number, because the mean of its divisors is an integer number (13132).

2¹²⁵⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

125948 is a deficient number, since it is larger than the sum of its proper divisors (110428).

125948 is a wasteful number, since it uses less digits than its factorization.

125948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 62 counting only the distinct ones).

The product of its digits is 2880, while the sum is 29.

The square root of 125948 is about 354.8915327251. The cubic root of 125948 is about 50.1260818004.

The spelling of 125948 in words is "one hundred twenty-five thousand, nine hundred forty-eight".