125956 has 6 divisors (see below), whose sum is σ = 220430. Its totient is φ = 62976.

The previous prime is 125941. The next prime is 125959. The reversal of 125956 is 659521.

It can be written as a sum of positive squares in only one way, i.e., 111556 + 14400 = 334^2 + 120^2 .

It is not an unprimeable number, because it can be changed into a prime (125959) by changing a digit.

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, 15741 + ... + 15748.

2¹²⁵⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

125956 is a deficient number, since it is larger than the sum of its proper divisors (94474).

125956 is a wasteful number, since it uses less digits than its factorization.

125956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31493 (or 31491 counting only the distinct ones).

The product of its digits is 2700, while the sum is 28.

The square root of 125956 is about 354.9028035956. The cubic root of 125956 is about 50.1271430853.

Subtracting from 125956 its product of digits (2700), we obtain a triangular number (123256 = T₄₉₆).

It can be divided in two parts, 125 and 956, that added together give a triangular number (1081 = T₄₆).

The spelling of 125956 in words is "one hundred twenty-five thousand, nine hundred fifty-six".