138112 has 32 divisors (see below), whose sum is σ = 299880. Its totient is φ = 62976.

The previous prime is 138107. The next prime is 138113. The reversal of 138112 is 211831.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1623 + ... + 1705.

2¹³⁸¹¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149940).

138112 is an abundant number, since it is smaller than the sum of its proper divisors (161768).

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

138112 is an equidigital number, since it uses as much as digits as its factorization.

138112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 98 counting only the distinct ones).

The product of its digits is 48, while the sum is 16.

The square root of 138112 is about 371.6342287788. The cubic root of 138112 is about 51.6904688572.

Adding to 138112 its reverse (211831), we get a palindrome (349943).

The spelling of 138112 in words is "one hundred thirty-eight thousand, one hundred twelve".