114138

114,138 is a positive integer that is even and composite. Its prime factorization is 2 × 3^2 × 17 × 373, making it divisible by 2, 3, 9, and 18. The digits sum to 18, confirming divisibility by 9 and 3. It is not a perfect square. The number has 24 positive divisors, as determined by its prime exponents (1+1)(2+1)(1+1)(1+1) = 24. The largest prime factor is 373, with a cofactor of 6,341 (17 × 373).

In terms of divisor sums, 114,138 is abundant. The sum of its proper divisors is 148,410, exceeding the number itself. The total sum of divisors is 262,548, which is about 2.30 times the number; thus the sum of proper divisors is about 1.30 times the number.

114,138 can be expressed as a sum of two squares; for example, 114,138 = 207^2 + 267^2, a representation that aligns with its prime factorization since no prime congruent to 3 mod 4 appears with an odd exponent. Other arithmetic characteristics include Euler’s totient function φ(114,138) = 35,712 and the Carmichael function λ(114,138) = 1,488.

In modular terms, the number is even and divisible by 3, with 114,138 ≡ 2 mod 4 and 114,138 ≡ 0 mod 3. As a mathematical object, 114,138 is primarily of interest for its factorization, divisor structure, and representations as sums of squares, rather than any widely known constant or named value.