income tax and NIC section c question

The following is the question:(10 marks)
Daniel is thinking of running a business either as a sole trader or via a limited company.
For either purposes, he will make a tax adjusted trading profit of 140000 (before deducting directors remuneration).

If he runs his business via a limited company, he will withdraw net of tax profit (after deducting corporation tax of 63000). He will take gross director’s remuneration of 8000 and 106000 in the form of dividends.

Calculate Daniel’s income tax liability and NICs if he were to be a sole trader or choose to trade via a limited company and explain which alternative would be more beneficial.

Doubt: The following is my answer. Please verify if my method is right!

If Daniel was a sole trader,
trading income 140000
personal allowance 0
taxable income 140000

37500*20%= 7500
102500*40%=41000
IT liability 48500

NICs
class 2 (3*52)=156
class 4 (41367*9%)=3723
(90000*2%)=1800
total class 4=5523

If Daniel ran his business through a limited co.
non savings dividends
trading income 140000 106000
remuneration 8000
PA 0
taxable income 148000 106000

37500*20% 7500
(148000-37500)*40%= 44200
2000*0 0
104000*38.1% 3962
IT liability 55662

NICs
same as above
employees and employers NIC are 0 as less than 8633

clearly, being a sole trader is not beneficial because net disposable income is 140000-48500
= 91500
if through limited co, net disposable income is 148000+106000-55662-48500=149838