144201010351140 has 144 divisors (see below), whose sum is σ = 444485773695600. Its totient is φ = 37834109005824.

The previous prime is 144201010351127. The next prime is 144201010351157. The reversal of 144201010351140 is 41153010102441.

It is a happy number.

144201010351140 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 0 + 1 + 0 + 103 + 511 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3640257938916 + 140560752412224 = 1907946^2 + 11855832^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8041635 + ... + 18790154.

It is an arithmetic number, because the mean of its divisors is an integer number (3086706761775).

Almost surely, 2^{144201010351140} is an apocalyptic number.

144201010351140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144201010351140 is an abundant number, since it is smaller than the sum of its proper divisors (300284763344460).

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

144201010351140 is a wasteful number, since it uses less digits than its factorization.

144201010351140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26832286 (or 26832281 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 144201010351140 its reverse (41153010102441), we get a palindrome (185354020453581).

The spelling of 144201010351140 in words is "one hundred forty-four trillion, two hundred one billion, ten million, three hundred fifty-one thousand, one hundred forty".