Find the smallest natural number n such that n has exactly 144 positive divisors, and among the positive divisors of n, there are 10 consecutive integers.
求最小的自然数n，使得n恰有144个正约数，而且n的正约数中，有10个连续整数．
<gadget id="calculator">2 * 1</gadget>
<output>2</output>

<gadget id="calculator">5 * 1</gadget>
<output>5</output>

<gadget id="calculator">2 ** 5</gadget>
<output>32</output>

<gadget id="calculator">3 * 1</gadget>
<output>3</output>

<gadget id="calculator">3 ** 3</gadget>
<output>27</output>

<gadget id="calculator">5 ** 2</gadget>
<output>25</output>

<gadget id="calculator">32 * 27 * 25 * 7</gadget>
<output>151_200</output>

<result>151_200</result>