17136

17136 is a positive integer that sits between 17135 and 17137. In number theory it has a rich factorization: 17136 = 2^4 × 3^2 × 7 × 17. This makes the number composite and even, with several small prime factors.

Key divisibility and representation details include:

- Since the digit sum is 1+7+1+3+6 = 18, the number is divisible by 9 and by 3.

- It is divisible by 16 (because of the 2^4 factor), by 24, and by 144 (since 144 = 2^4 × 3^2).

- It can be expressed through several factor pairs, for example 17136 = 17 × 1008 and 17136 = 7 × 2448, among others.

The sum of all divisors of 17136 is 58,032, so the sum of proper divisors is 40,896. Because the sum of proper divisors exceeds the number itself, 17136 is an abundant number. Additionally, as noted above, it is a Harshad (Niven) number in base 10 since it is divisible by the sum of its digits (18).

Beyond pure mathematics, 17136 may appear as a numeric identifier in various catalogs, datasets, or records. Without a specific domain, there is no single widely recognized meaning attached to the number.