When plotting the graph of $\sin(x^x)$ I noticed that there is no plot from about $x=143$. I don't suppose there is a purely mathematical explanation for this? 

So, why is there no graph in *Mathematica* from $x=143$? Some kind of overflow?

    f[x_] = Sin[x^x]
    Plot[{f[x]}, {x, 142, 144}, PlotStyle -> Thin, PlotLegends -> "Expressions"]

![Mathematica graphics](https://i.sstatic.net/acgsw.png)