Is magnetic force stronger than gravity?

Gravity is much stronger than magnetism, exactly it is 137-times stronger than magnetism at the planetary level.

Whereas,

Electromagnetism (or, magnetic force) is stronger than gravity at the atomic and sub-atomic levels.

Understand this by the example given below:-

Suppose an iron nail is lying on the ground, and you hover a magnet around it.

Now, think which force wins: gravity or magnetism. 

Earth is also a giant magnet with north and south magnetic poles and a magnetic field called the magnetosphere.