144131512430000 has 200 divisors, whose sum is σ = 352107331161696. Its totient is φ = 57132275200000.

The previous prime is 144131512429991. The next prime is 144131512430023. The reversal of 144131512430000 is 34215131441.

It is a tau number, because it is divible by the number of its divisors (200).

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 39 ways as a sum of consecutive naturals, for example, 12182524085 + ... + 12182535915.

Almost surely, 2^{144131512430000} is an apocalyptic number.

144131512430000 is a gapful number since it is divisible by the number (10) 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 144131512430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176053665580848).

144131512430000 is an abundant number, since it is smaller than the sum of its proper divisors (207975818731696).

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

144131512430000 is a wasteful number, since it uses less digits than its factorization.

144131512430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22753 (or 22732 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 144131512430000 its reverse (34215131441), we get a palindrome (144165727561441).

The spelling of 144131512430000 in words is "one hundred forty-four trillion, one hundred thirty-one billion, five hundred twelve million, four hundred thirty thousand".