The volume of a cuboid is 1620 cubic centimeters, its length, width, and height are all natural numbers, what is the minimum sum of its edge lengths?
一个长方体的体积是1620立方厘米，它的长、宽、高均为自然数，它的棱长之和最小是多少．
<gadget id="calculator">2 * 2 * 3</gadget>
<output>12</output>

<gadget id="calculator">3 * 3</gadget>
<output>9</output>

<gadget id="calculator">3 * 5</gadget>
<output>15</output>

<gadget id="calculator">12 + 9 + 15</gadget>
<output>36</output>

<gadget id="calculator">36 * 4</gadget>
<output>144</output>

<result>144</result>