To determine the number of neutrons in an atom of radium, you can use the formula:
\[ \text{Number of Neutrons} = \text{Mass Number} - \text{Atomic Number} \]
Given that the mass number of radium is 226 and the atomic number is 88:
\[ \text{Number of Neutrons} = 226 - 88 = 138 \]
So, the correct answer is 138.