125838 has 12 divisors (see below), whose sum is σ = 272688. Its totient is φ = 41940.

The previous prime is 125821. The next prime is 125863. The reversal of 125838 is 838521.

It is a happy number.

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

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 125838.

It is an unprimeable number.

125838 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 5 ways as a sum of consecutive naturals, for example, 3478 + ... + 3513.

It is an arithmetic number, because the mean of its divisors is an integer number (22724).

2¹²⁵⁸³⁸ is an apocalyptic number.

125838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

125838 is an abundant number, since it is smaller than the sum of its proper divisors (146850).

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

125838 is a wasteful number, since it uses less digits than its factorization.

125838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6999 (or 6996 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 125838 is about 354.7365219427. The cubic root of 125838 is about 50.1114845724. Note that the first 3 decimals are identical.

It can be divided in two parts, 1258 and 38, that added together give a 4-th power (1296 = 6⁴).

The spelling of 125838 in words is "one hundred twenty-five thousand, eight hundred thirty-eight".