27138 has 8 divisors (see below), whose sum is σ = 54288. Its totient is φ = 9044.

The previous prime is 27127. The next prime is 27143. The reversal of 27138 is 83172.

It is a sphenic number, since it is the product of 3 distinct primes.

27138 is an admirable number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2256 + ... + 2267.

It is an arithmetic number, because the mean of its divisors is an integer number (6786).

2²⁷¹³⁸ is an apocalyptic number.

27138 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27144).

27138 is a wasteful number, since it uses less digits than its factorization.

27138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4528.

The product of its digits is 336, while the sum is 21.

The square root of 27138 is about 164.7361526806. The cubic root of 27138 is about 30.0510242793.

It can be divided in two parts, 2 and 7138, that added together give a triangular number (7140 = T₁₁₉).

The spelling of 27138 in words is "twenty-seven thousand, one hundred thirty-eight".