The symbol n! represents the multiplication of the first n positive integers, and specifies 0! =1, for example: 4!=1x2x3x4. Every three-digit \overline{abc} has a "corresponding number": a! +b!+c!, for example: the corresponding number of 254 is 2!+5!+4!=146. I would like to ask: What is the three-digit number whose corresponding number is the same as itself?
记号n!表示前n个正整数相乘，并且规定0！=1，例如：4!=1x2x3x4．每一个三位数\overline{abc}都有一个"对应数"：a！+b!+c!，例如：254的对应数是2!+5!+4!=146．请问：对应数与自身相同的三位数是什么？
<gadget id="calculator">120 + 24 + 1</gadget>
<output>145</output>

<result>145</result>