144033142325104 has 320 divisors, whose sum is σ = 310172347699200. Its totient is φ = 64596523622400.

The previous prime is 144033142325101. The next prime is 144033142325131. The reversal of 144033142325104 is 401523241330441.

It is a super-2 number, since 2×144033142325104² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144033142325101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51643290942 + ... + 51643293730.

It is an arithmetic number, because the mean of its divisors is an integer number (969288586560).

Almost surely, 2^{144033142325104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144033142325104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155086173849600).

144033142325104 is an abundant number, since it is smaller than the sum of its proper divisors (166139205374096).

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

144033142325104 is a wasteful number, since it uses less digits than its factorization.

144033142325104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4272 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

Adding to 144033142325104 its reverse (401523241330441), we get a palindrome (545556383655545).

The spelling of 144033142325104 in words is "one hundred forty-four trillion, thirty-three billion, one hundred forty-two million, three hundred twenty-five thousand, one hundred four".