125736 has 48 divisors (see below), whose sum is σ = 351360. Its totient is φ = 37440.

The previous prime is 125731. The next prime is 125737. The reversal of 125736 is 637521.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (125731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4041 + ... + 4071.

It is an arithmetic number, because the mean of its divisors is an integer number (7320).

2¹²⁵⁷³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175680).

125736 is an abundant number, since it is smaller than the sum of its proper divisors (225624).

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

125736 is a wasteful number, since it uses less digits than its factorization.

125736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 49 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 125736 is about 354.5927241216. The cubic root of 125736 is about 50.0979413579.

It can be divided in two parts, 125 and 736, that added together give a triangular number (861 = T₄₁).

The spelling of 125736 in words is "one hundred twenty-five thousand, seven hundred thirty-six".