125840 has 60 divisors (see below), whose sum is σ = 346332. Its totient is φ = 42240.

The previous prime is 125821. The next prime is 125863. The reversal of 125840 is 48521.

It can be written as a sum of positive squares in 2 ways, for example, as 30976 + 94864 = 176^2 + 308^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

125840 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 11 ways as a sum of consecutive naturals, for example, 9674 + ... + 9686.

2¹²⁵⁸⁴⁰ is an apocalyptic number.

125840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173166).

125840 is an abundant number, since it is smaller than the sum of its proper divisors (220492).

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

125840 is a wasteful number, since it uses less digits than its factorization.

125840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 125840 is about 354.7393409251. The cubic root of 125840 is about 50.1117500524. Note that the first 3 decimals are identical.

The spelling of 125840 in words is "one hundred twenty-five thousand, eight hundred forty".