125538 has 32 divisors (see below), whose sum is σ = 297600. Its totient is φ = 35280.

The previous prime is 125527. The next prime is 125539. The reversal of 125538 is 835521.

It is not an unprimeable number, because it can be changed into a prime (125539) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2028 + ... + 2088.

It is an arithmetic number, because the mean of its divisors is an integer number (9300).

2¹²⁵⁵³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148800).

125538 is an abundant number, since it is smaller than the sum of its proper divisors (172062).

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

125538 is an equidigital number, since it uses as much as digits as its factorization.

125538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 73 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 125538 is about 354.3134205756. The cubic root of 125538 is about 50.0716306653.

It can be divided in two parts, 12553 and 8, that added together give a triangular number (12561 = T₁₅₈).

The spelling of 125538 in words is "one hundred twenty-five thousand, five hundred thirty-eight".