The sum of the perfect squares between 150 and 250 is:

A perfect square is a whole number multiplied by itself.

To find perfect squares between 150 and 250, first identify the range of base numbers.

For the lower bound:

$12 \times 12 = 144$ (less than 150)

$13 \times 13 = 169$ (greater than 150)

For the upper bound:

$15 \times 15 = 225$ (less than 250)

$16 \times 16 = 256$ (greater than 250)

The perfect squares between 150 and 250 are from $13^2$ to $15^2$.

---

The perfect squares in this range are:

$13^2 = 169$

$14^2 = 196$

$15^2 = 225$

---

Sum $= 169 + 196 + 225$

$= 365 + 225$

$= 590$

Therefore, the sum of perfect squares between 150 and 250 is $590$.