That's basically the best you can expect from the equipment you've paid for.
The rule of thumb for throughput of pure TCP/IPv4 over 802.11n with reasonable 802.11n-layer packet aggregation is about 75% of the PHY rate. By picking a better channel, you increased your PHY rate to 120Mbps, so pure TCP should get 90Mbps, which is 10.7 MiB/sec.
Maybe you're not always getting the 120Mbps PHY rate, and maybe you're using a remote filesystem protocol like SMB that adds its own overhead, or your client or server software is suboptimal. Or a combination of all of those. So a file transfer rate of 5.3 MebiBytes/sec (which is what I think you meant by "5.3 mb/s", judging from context) seems reasonable. The absolute theoretical max throughput your N150 dongle could handle in perfect conditions is 13.4 MiB/sec.
It's 2015. If you want to go fast, buy 3x3:3 802.11ac gear and go 1300Mbps. 300Mbps hasn't been "fast" since 450Mbps 3x3:3 802.11n gear started hitting the market in 2009. 150Mbps N was never "fast" because when N gear first hit the market, everyone did the 2x2:2 300Mbps flavor. Even with a 2x2:2 802.11ac USB dongle which can only do 867Mbps max PHY rate (it's hard to make a good 3x3:3 802.11ac 1300Mbps USB dongle, so I don't think anyone does), you could get close to 80 MiB/sec file transfers in ideal conditions, but I'd be happy with 60MiB/sec with that kind of gear under real-world conditions.
So assuming your client machine has a USB3 port, you could get an order of magnitude better throughput by upgrading your Wi-Fi AP and dongle to something reasonably modern.