Your current OS is of x32.
And yes, you can install x64 bit OS on that same machine since your processor supports it. And like slickymaster said, you will need x64 bit OS to support x64 built applications.
Here is how lscpu looks when running from x64 OS.
Code:
glen@maxwell:~$ lscpu
Architecture: x86_64
CPU op-mode(s): 32-bit, 64-bit
Byte Order: Little Endian
CPU(s): 2
On-line CPU(s) list: 0,1
Thread(s) per core: 1
Core(s) per socket: 2
Socket(s): 1
NUMA node(s): 1
Vendor ID: GenuineIntel
CPU family: 6
Model: 23
Stepping: 6
CPU MHz: 2003.000
BogoMIPS: 6000.18
Virtualization: VT-x
L1d cache: 32K
L1i cache: 32K
L2 cache: 6144K
NUMA node0 CPU(s): 0,1
Note the bold part.
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