27136 has 20 divisors (see below), whose sum is σ = 55242. Its totient is φ = 13312.

The previous prime is 27127. The next prime is 27143. The reversal of 27136 is 63172.

27136 = T_{133} + T_{134} +
T_{135}.

It can be written as a sum of positive squares in only one way, i.e., 20736 + 6400 = 144^2 + 80^2 .

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486 + ... + 538.

2^{27136} is an apocalyptic number.

27136 is the 135-th centered triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27621).

27136 is an abundant number, since it is smaller than the sum of its proper divisors (28106).

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

27136 is an frugal number, since it uses more digits than its factorization.

27136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 55 counting only the distinct ones).

The product of its digits is 252, while the sum is 19.

The square root of 27136 is about 164.7300822558. The cubic root of 27136 is about 30.0502860338.

The spelling of 27136 in words is "twenty-seven thousand, one hundred thirty-six".

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