125670 has 32 divisors (see below), whose sum is σ = 311040. Its totient is φ = 32480.

The previous prime is 125669. The next prime is 125683. The reversal of 125670 is 76521.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1735 + ... + 1805.

It is an arithmetic number, because the mean of its divisors is an integer number (9720).

2¹²⁵⁶⁷⁰ is an apocalyptic number.

125670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 354×355.

It is a practical number, because each smaller number is the sum of distinct divisors of 125670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155520).

125670 is an abundant number, since it is smaller than the sum of its proper divisors (185370).

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

125670 is a wasteful number, since it uses less digits than its factorization.

125670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 125670 is about 354.4996473905. The cubic root of 125670 is about 50.0891741980.

Subtracting from 125670 its product of nonzero digits (420), we obtain a triangular number (125250 = T₅₀₀).

It can be divided in two parts, 1256 and 70, that added together give a triangular number (1326 = T₅₁).

The spelling of 125670 in words is "one hundred twenty-five thousand, six hundred seventy".