138060 has 72 divisors (see below), whose sum is σ = 458640. Its totient is φ = 33408.

The previous prime is 138059. The next prime is 138071. The reversal of 138060 is 60831.

138060 is nontrivially palindromic in base 8.

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

It is a plaindrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2311 + ... + 2369.

It is an arithmetic number, because the mean of its divisors is an integer number (6370).

2¹³⁸⁰⁶⁰ is an apocalyptic number.

138060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229320).

138060 is an abundant number, since it is smaller than the sum of its proper divisors (320580).

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

138060 is a wasteful number, since it uses less digits than its factorization.

138060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 82 counting only the distinct ones).

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

The square root of 138060 is about 371.5642609294. The cubic root of 138060 is about 51.6839807852.

Adding to 138060 its reverse (60831), we get a palindrome (198891).

The spelling of 138060 in words is "one hundred thirty-eight thousand, sixty".