To find the number of neutrons in an atom, you can use the formula:
\[ \text{Number of Neutrons} = \text{Mass Number} - \text{Atomic Number} \]
For radium, the mass number is 226 and the atomic number is 88. Plugging in these values:
\[ \text{Number of Neutrons} = 226 - 88 = 138 \]
Therefore, an atom of radium has 138 neutrons.