125874 has 48 divisors (see below), whose sum is σ = 331968. Its totient is φ = 34992.

The previous prime is 125863. The next prime is 125887. The reversal of 125874 is 478521.

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

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

It is a nialpdrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 125874.

It is an unprimeable number.

125874 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 23 ways as a sum of consecutive naturals, for example, 3384 + ... + 3420.

It is an arithmetic number, because the mean of its divisors is an integer number (6916).

2¹²⁵⁸⁷⁴ is an apocalyptic number.

125874 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165984).

125874 is an abundant number, since it is smaller than the sum of its proper divisors (206094).

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

125874 is an equidigital number, since it uses as much as digits as its factorization.

125874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 49 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 125874 is about 354.7872601997. The cubic root of 125874 is about 50.1162627831.

It can be divided in two parts, 125 and 874, that added together give a palindrome (999).

The spelling of 125874 in words is "one hundred twenty-five thousand, eight hundred seventy-four".