201144960 has 192 divisors, whose sum is σ = 710311680. Its totient is φ = 52426752.

The previous prime is 201144949. The next prime is 201144961. The reversal of 201144960 is 69441102.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (201144961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270349 + ... + 271091.

It is an arithmetic number, because the mean of its divisors is an integer number (3699540).

Almost surely, 2^201144960 is an apocalyptic number.

201144960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355155840).

201144960 is an abundant number, since it is smaller than the sum of its proper divisors (509166720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201144960 is a wasteful number, since it uses less digits than its factorization.

201144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 201144960 is about 14182.5583023656. The cubic root of 201144960 is about 585.9173859549.

It can be divided in two parts, 2011 and 44960, that added together give a triangular number (46971 = T₃₀₆).

The spelling of 201144960 in words is "two hundred one million, one hundred forty-four thousand, nine hundred sixty".