2136 has 16 divisors (see below), whose sum is σ = 5400. Its totient is φ = 704.

The previous prime is 2131. The next prime is 2137. The reversal of 2136 is 6312.

2136 = T₁₉ + T₂₀ + ... + T₂₆.

2136 is nontrivially palindromic in base 16.

It is a Harshad number since it is a multiple of its sum of digits (12).

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

It is a d-powerful number, because it can be written as 2¹¹ + 3⁴ + 1 + 6 .

It is one of the 548 Lynch-Bell numbers.

2136 is an undulating number in base 16.

It is a nialpdrome in base 13 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131) by changing a digit.

2136 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 3 ways as a sum of consecutive naturals, for example, 21 + ... + 68.

It is an amenable number.

2136 is an abundant number, since it is smaller than the sum of its proper divisors (3264).

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 (2700).

2136 is a wasteful number, since it uses less digits than its factorization.

2136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 94 counting only the distinct ones).

The product of its digits is 36, while the sum is 12.

The square root of 2136 is about 46.2168800332. The cubic root of 2136 is about 12.8785533913.

Adding to 2136 its reverse (6312), we get a palindrome (8448).

It can be divided in two parts, 2 and 136, that multiplied together give a palindrome (272).

The spelling of 2136 in words is "two thousand, one hundred thirty-six".