131234004241144 has 192 divisors, whose sum is σ = 287219910225600. Its totient is φ = 55060267401216.

The previous prime is 131234004241139. The next prime is 131234004241201. The reversal of 131234004241144 is 441142400432131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47669451672 + ... + 47669454424.

It is an arithmetic number, because the mean of its divisors is an integer number (1495937032425).

Almost surely, 2^{131234004241144} is an apocalyptic number.

131234004241144 is a gapful number since it is divisible by the number (14) 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 131234004241144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143609955112800).

131234004241144 is an abundant number, since it is smaller than the sum of its proper divisors (155985905984456).

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

131234004241144 is a wasteful number, since it uses less digits than its factorization.

131234004241144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3702 (or 3571 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 131234004241144 its reverse (441142400432131), we get a palindrome (572376404673275).

The spelling of 131234004241144 in words is "one hundred thirty-one trillion, two hundred thirty-four billion, four million, two hundred forty-one thousand, one hundred forty-four".