115125

115125 is a natural number in the decimal numeral system. It lies between 115124 and 115126 and is a composite number with a prime factorization of 3 × 5^3 × 307. Equivalently, 115125 = 3 × 125 × 307 = 307 × 375. The factorization shows it has 16 positive divisors.

The divisors arise from its prime powers: for 3^1, 5^3, and 307^1, the number of divisors is (1+1) × (3+1) × (1+1) = 16. The sum of all divisors is (3^2−1)/(3−1) × (5^4−1)/(5−1) × (307^2−1)/(307−1) = 4 × 156 × 308 = 192,192. Therefore the sum of proper divisors is 192,192 − 115,125 = 77,067, and 115125 is deficient (not equal to or greater than the number itself).

In base 10, the sum of its digits is 1+1+5+1+2+5 = 15, so 115125 is divisible by 15 (115125 ÷ 15 = 7,675), making it a Harshad (niven) number in this base. It is also divisible by 3, 5, 15, 25, 125, and 307, reflecting its prime-power structure.

No widely recognized geographic, astronomical, or cultural significance is attached to 115125 beyond its mathematical properties. As a six-digit composite with a clear factorization, it is sometimes used as an example in number theory discussions and educational contexts.