Filomena is the Italian form of Philomena — from the Greek philos (love) and menos (strength). Saint Philomena was a 4th-century Christian martyr; her cult was popular in 19th-century Catholicism.
Filomena is widely used in Italy and Portugal.
Filomena does not currently appear in the US Social Security Administration's top 1,000 girls' names, so we don't publish a US rank or birth count for it. That says nothing about the name's standing elsewhere in the world — only that it sits outside the ranked US data we rely on.
In Pythagorean numerology the letters of Filomena reduce to 3, The Communicator. This is a traditional interpretive system, not a factual claim about the name.