125766 has 32 divisors (see below), whose sum is σ = 298080. Its totient is φ = 39168.

The previous prime is 125753. The next prime is 125777. The reversal of 125766 is 667521.

125766 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 850 + ... + 986.

It is an arithmetic number, because the mean of its divisors is an integer number (9315).

2¹²⁵⁷⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149040).

125766 is an abundant number, since it is smaller than the sum of its proper divisors (172314).

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

125766 is a wasteful number, since it uses less digits than its factorization.

125766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 159 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 125766 is about 354.6350236511. The cubic root of 125766 is about 50.1019254163.

It can be divided in two parts, 12 and 5766, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 125766 in words is "one hundred twenty-five thousand, seven hundred sixty-six".