jmc

Note that if $1\le a<b<c$, then $\sqrt{a}<\sqrt{b}<\sqrt{c}$. Since $1<144<164<169$, we can say that $$\sqrt{144}<\sqrt{164}<\sqrt{169}\Rightarrow 12<\sqrt{164}<13\to \boxed{\text{between }12\text{ and }13}$$