138020 has 24 divisors (see below), whose sum is σ = 297024. Its totient is φ = 53856.

The previous prime is 138007. The next prime is 138041. The reversal of 138020 is 20831.

It is a junction number, because it is equal to n+sod(n) for n = 137986 and 138004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1289 + ... + 1391.

It is an arithmetic number, because the mean of its divisors is an integer number (12376).

2¹³⁸⁰²⁰ is an apocalyptic number.

138020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138020 is an abundant number, since it is smaller than the sum of its proper divisors (159004).

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

138020 is a wasteful number, since it uses less digits than its factorization.

138020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 138020 is about 371.5104305400. The cubic root of 138020 is about 51.6789888520.

Adding to 138020 its reverse (20831), we get a palindrome (158851).

The spelling of 138020 in words is "one hundred thirty-eight thousand, twenty".