SELECT
    nmsp_parent.nspname AS parent_schema ,
    parent.relname AS parent ,
    nmsp_child.nspname AS child ,
    child.relname AS child_schema
FROM
    pg_inherits JOIN pg_class parent
        ON pg_inherits.inhparent = parent.oid JOIN pg_class child
        ON pg_inherits.inhrelid = child.oid JOIN pg_namespace nmsp_parent
        ON nmsp_parent.oid = parent.relnamespace JOIN pg_namespace nmsp_child
        ON nmsp_child.oid = child.relnamespace
WHERE
    parent.relname = 'table_name';

SELECT
    nspname ,
    relname ,
    COUNT(*) AS partition_num
FROM
    pg_class c ,
    pg_namespace n ,
    pg_inherits i
WHERE
    c.oid = i.inhparent
    AND c.relnamespace = n.oid
    AND c.relhassubclass
    AND c.relkind = 'r'
GROUP BY 1,2 ORDER BY partition_num DESC;