125739 has 8 divisors (see below), whose sum is σ = 186320. Its totient is φ = 83808.

The previous prime is 125737. The next prime is 125743. The reversal of 125739 is 937521.

It is not a de Polignac number, because 125739 - 2¹ = 125737 is a prime.

It is a super-2 number, since 2×125739² = 31620592242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4657 = 125739 / (1 + 2 + 5 + 7 + 3 + 9).

It is a d-powerful number, because it can be written as 1 + 2¹¹ + 7⁶ + 5⁵ + 3⁷ + 9³ .

It is a Duffinian number.

125739 is a lucky number.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2302 + ... + 2355.

It is an arithmetic number, because the mean of its divisors is an integer number (23290).

2¹²⁵⁷³⁹ is an apocalyptic number.

125739 is a deficient number, since it is larger than the sum of its proper divisors (60581).

125739 is an equidigital number, since it uses as much as digits as its factorization.

125739 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4666 (or 4660 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 125739 is about 354.5969543016. The cubic root of 125739 is about 50.0983397922.

It can be divided in two parts, 1257 and 39, that added together give a 4-th power (1296 = 6⁴).

The spelling of 125739 in words is "one hundred twenty-five thousand, seven hundred thirty-nine".