144034001201133 has 32 divisors (see below), whose sum is σ = 228725017701120. Its totient is φ = 90374275240128.

The previous prime is 144034001201047. The next prime is 144034001201141. The reversal of 144034001201133 is 331102100430441.

144034001201133 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 3 + 400 + 120 + 1 + 133 = 666.

It is not a de Polignac number, because 144034001201133 - 2¹³ = 144034001192941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 144034001201097 and 144034001201106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144034001201533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1936997185 + ... + 1937071542.

It is an arithmetic number, because the mean of its divisors is an integer number (7147656803160).

Almost surely, 2^{144034001201133} is an apocalyptic number.

It is an amenable number.

144034001201133 is a deficient number, since it is larger than the sum of its proper divisors (84691016499987).

144034001201133 is an frugal number, since it uses more digits than its factorization.

144034001201133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874068765 (or 3874068747 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 144034001201133 its reverse (331102100430441), we get a palindrome (475136101631574).

The spelling of 144034001201133 in words is "one hundred forty-four trillion, thirty-four billion, one million, two hundred one thousand, one hundred thirty-three".