I want to use the highest possible number of threads (to use less computers) but without making the bottleneck to be in the client.
JMeter can simulate a very High Load provided you use it right.
Don't listen to Urban Legends that say JMeter cannot handle high load.
Now as for answer, it depends on:
your machine power
your jvm 32 bits or 64 bits
your jvm allocated memory -Xmx
your test plan ( lot of beanshell, post processor, xpath ... Means lots of cpu)
your os configuration (tunable)
Gui / non gui mode
So there is no theorical answer but following Best Practices will ensure JMeter performs well.
Note that with jmeter you can distribute load through remote testing, read:
And finally use cloud based testing if it's not enough.
Read this for tuning tips:
Read this book for doing load testing and using JMeter correctly.