26136

26136 is a natural number that lies between 26135 and 26137. In mathematics, it is an even composite number with prime factorization 2^3 × 3^3 × 11^2.

From this factorization, 26136 has 48 positive divisors. It is divisible by many small integers, including 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. One can also observe that 26136 equals 72 × 363, underscoring its multiple of 72 and its relation to the factors 2, 3, and 11 in its prime decomposition.

The sum of the divisors function gives sigma(26136) = 79800, so the sum of proper divisors is 79800 − 26136 = 53664. Because this sum exceeds the number itself, 26136 is an abundant number, with an abundance of 53664 − 26136 = 27528.

In addition to its divisor properties, 26136 is a Harshad (Niven) number in base 10, since the sum of its digits is 2 + 6 + 1 + 3 + 6 = 18, and 26136 is divisible by 18 (26136 ÷ 18 = 1452). Beyond these arithmetic characteristics, 26136 does not correspond to a widely recognized constant or widely cited identifier, but it serves as a representative example of a composite number with multiple small factors and rich divisor structure.