How to find Linux kernel 32 or 64 and CPU 32 or 64 ?

To check Kernel

uname -m

x86_64 ==> 64-bit kernel
i686   ==> 32-bit kernel

or more detail info by : 

unamme -a

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To check CPU

cat /proc/cpuinfo

or:

grep flags /proc/cpuinfo

Under "flags" parameter, you will see various values. Among them, one is named "tm(transparent mode)" or "rm(real mode)" or "lm(long mode)"

rm ==> 16-bit processor
tm ==> 32-bit processor
lm ==> 64-bit processor

Note: you can have a 64-bit CPU with a 32-bit kernel installed