To solve the expression \( 2045:5 + 161 \cdot 73 - 27 \cdot 13 \), we will follow the order of operations (also known as PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
First, perform the division: \[ 2045 \div 5 = 409 \]
Next, perform the multiplications: \[ 161 \cdot 73 = 11753 \] \[ 27 \cdot 13 = 351 \]
Now combine the results in the expression: \[ 409 + 11753 - 351 \]
First, add: \[ 409 + 11753 = 12162 \]
Finally, subtract: \[ 12162 - 351 = 11811 \]
Thus, the value of the expression \( 2045:5 + 161 \cdot 73 - 27 \cdot 13 \) is \( \boxed{11811} \).