The correct option is D 15.273168.....
Irrational numbers has non-terminating and non-recurring decimal expansion.
14.222222222.... is a non terminating but recurring decimal, i.e. rational number.
13.345345..... is a non terminating but recurring decimal, i.e. rational number.
12.123826121625 is a terminating decimal, i.e. rational number.
15.273168..... is non-terminating and non-recurring decimal, i.e. irrational number.