138030 has 32 divisors (see below), whose sum is σ = 342144. Its totient is φ = 35616.

The previous prime is 138007. The next prime is 138041. The reversal of 138030 is 30831.

138030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1237 + ... + 1343.

It is an arithmetic number, because the mean of its divisors is an integer number (10692).

2¹³⁸⁰³⁰ is an apocalyptic number.

138030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171072).

138030 is an abundant number, since it is smaller than the sum of its proper divisors (204114).

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

138030 is a wasteful number, since it uses less digits than its factorization.

138030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 138030 is about 371.5238888685. The cubic root of 138030 is about 51.6802369257.

Adding to 138030 its reverse (30831), we get a palindrome (168861).

The spelling of 138030 in words is "one hundred thirty-eight thousand, thirty".