CXXXV

CXXXV is a Roman numeral representing the integer 135. It is formed by C (100) plus XXX (30) plus V (5). The notation is additive, using no subtractive pairs in this form.

Mathematically, 135 is an odd composite number. Its prime factorization is 3^3 × 5, so its divisors include 1, 3, 5, 9, 15, 27, 45, and 135. It is divisible by 3, 5, 9, 15, 27, and 45. In base-10 arithmetic, 135 is a Harshad number since the sum of its digits is 9 and 135 ÷ 9 = 15. It is neither a square nor a triangular number.

Historically, the numeral has been used to designate years in Roman and other historical chronologies, including the year 135 CE or 135 BCE. In modern usage, Roman numerals such as CXXXV appear in outlines, film credits, clock faces, and as identifiers in lists or catalogues where classical numbering is preferred.

Origin and decoding: The symbols C, X, and V come from Latin words centum, decem, and quinque; their additive combination yields 135. CXXXV thus illustrates how Roman numerals encode numbers through simple additive rules.