138064 has 10 divisors (see below), whose sum is σ = 267530. Its totient is φ = 69024.

The previous prime is 138059. The next prime is 138071. The reversal of 138064 is 460831.

It can be written as a sum of positive squares in only one way, i.e., 129600 + 8464 = 360^2 + 92^2 .

It is a congruent number.

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 as a sum of consecutive naturals, namely, 4299 + ... + 4330.

It is an arithmetic number, because the mean of its divisors is an integer number (26753).

2¹³⁸⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

138064 is a deficient number, since it is larger than the sum of its proper divisors (129466).

138064 is an equidigital number, since it uses as much as digits as its factorization.

138064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8637 (or 8631 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 138064 is about 371.5696435394. The cubic root of 138064 is about 51.6844799255.

Adding to 138064 its reverse (460831), we get a palindrome (598895).

It can be divided in two parts, 1380 and 64, that added together give a square (1444 = 38²).

The spelling of 138064 in words is "one hundred thirty-eight thousand, sixty-four".