138006 has 48 divisors (see below), whose sum is σ = 353808. Its totient is φ = 38400.

The previous prime is 137999. The next prime is 138007. The reversal of 138006 is 600831.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 138006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138007) by changing a digit.

138006 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 23 ways as a sum of consecutive naturals, for example, 3346 + ... + 3386.

It is an arithmetic number, because the mean of its divisors is an integer number (7371).

2¹³⁸⁰⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176904).

138006 is an abundant number, since it is smaller than the sum of its proper divisors (215802).

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

138006 is a wasteful number, since it uses less digits than its factorization.

138006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 138006 is about 371.4915880609. The cubic root of 138006 is about 51.6772414475.

138006 divided by its sum of digits (18) gives a palindrome (7667).

Adding to 138006 its reverse (600831), we get a palindrome (738837).

The spelling of 138006 in words is "one hundred thirty-eight thousand, six".