188538 has 24 divisors (see below), whose sum is σ = 437472. Its totient is φ = 53064.

The previous prime is 188533. The next prime is 188563. The reversal of 188538 is 835881.

188538 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 188499 and 188508.

It is not an unprimeable number, because it can be changed into a prime (188533) by changing a digit.

188538 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, 2781 + ... + 2847.

It is an arithmetic number, because the mean of its divisors is an integer number (18228).

2¹⁸⁸⁵³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218736).

188538 is an abundant number, since it is smaller than the sum of its proper divisors (248934).

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

188538 is an equidigital number, since it uses as much as digits as its factorization.

188538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 79 counting only the distinct ones).

The product of its digits is 7680, while the sum is 33.

The square root of 188538 is about 434.2096267933. The cubic root of 188538 is about 57.3411367901.

The spelling of 188538 in words is "one hundred eighty-eight thousand, five hundred thirty-eight".