8136 has 24 divisors (see below), whose sum is σ = 22230. Its totient is φ = 2688.

The previous prime is 8123. The next prime is 8147. The reversal of 8136 is 6318.

It can be written as a sum of positive squares in only one way, i.e., 8100 + 36 = 90^2 + 6^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

8136 is an undulating number in base 15.

It is a congruent number.

It is an unprimeable number.

8136 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16 + ... + 128.

2⁸¹³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11115).

8136 is an abundant number, since it is smaller than the sum of its proper divisors (14094).

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

8136 is a wasteful number, since it uses less digits than its factorization.

8136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 118 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 8136 is about 90.1997782702. The cubic root of 8136 is about 20.1126971086.

Subtracting from 8136 its sum of digits (18), we obtain a palindrome (8118).

It can be divided in two parts, 81 and 36, that multiplied together give a square (2916 = 54²).

The spelling of 8136 in words is "eight thousand, one hundred thirty-six".