138567 has 32 divisors (see below), whose sum is σ = 241920. Its totient is φ = 69120.

The previous prime is 138563. The next prime is 138569. The reversal of 138567 is 765831.

138567 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138567 - 2² = 138563 is a prime.

Its product of digits (5040) is a multiple of the sum of its prime divisors (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7284 + ... + 7302.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2¹³⁸⁵⁶⁷ is an apocalyptic number.

138567 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

138567 is a deficient number, since it is larger than the sum of its proper divisors (103353).

138567 is a wasteful number, since it uses less digits than its factorization.

138567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63.

The product of its digits is 5040, while the sum is 30.

The square root of 138567 is about 372.2458864783. The cubic root of 138567 is about 51.7471701409.

Subtracting 138567 from its reverse (765831), we obtain a square (627264 = 792²).

The spelling of 138567 in words is "one hundred thirty-eight thousand, five hundred sixty-seven".