125556 has 12 divisors (see below), whose sum is σ = 292992. Its totient is φ = 41848.

The previous prime is 125551. The next prime is 125591. The reversal of 125556 is 655521.

125556 = T₁₀₉ + T₁₁₀ + ... + T₁₂₆.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125551) by changing a digit.

125556 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 in 3 ways as a sum of consecutive naturals, for example, 5220 + ... + 5243.

It is an arithmetic number, because the mean of its divisors is an integer number (24416).

2¹²⁵⁵⁵⁶ is an apocalyptic number.

It is an amenable number.

125556 is an abundant number, since it is smaller than the sum of its proper divisors (167436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125556 is a wasteful number, since it uses less digits than its factorization.

125556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10470 (or 10468 counting only the distinct ones).

The product of its digits is 1500, while the sum is 24.

The square root of 125556 is about 354.3388209045. The cubic root of 125556 is about 50.0740236891.

It can be divided in two parts, 12555 and 6, that added together give a triangular number (12561 = T₁₅₈).

The spelling of 125556 in words is "one hundred twenty-five thousand, five hundred fifty-six".