Query to List all the partitioned tables in SQL Server database

select object_schema_name(i.object_id) as [schema],
    object_name(i.object_id) as [object],
    i.name as [index],
    s.name as [partition_scheme]
    from sys.indexes i
    join sys.partition_schemes s on i.data_space_id = s.data_space_id order by [schema]

Script to find number of rows in each partition in a partitioned table in SQL Server

SELECT t.NAME [table]
 ,p.rows
 ,p.partition_number
 ,v.boundary_id
 ,v.value
FROM sys.tables t
INNER JOIN sys.partitions p ON p.object_id = t.object_id
INNER JOIN sys.partition_range_values v ON v.boundary_id = p.partition_number
WHERE is_ms_shipped = 0
ORDER BY [table]