131371241760 has 288 divisors, whose sum is σ = 510324167808. Its totient is φ = 30462812160.

The previous prime is 131371241759. The next prime is 131371241791. The reversal of 131371241760 is 67142173131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 184024 + ... + 544616.

It is an arithmetic number, because the mean of its divisors is an integer number (1771958916).

Almost surely, 2^131371241760 is an apocalyptic number.

131371241760 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 131371241760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255162083904).

131371241760 is an abundant number, since it is smaller than the sum of its proper divisors (378952926048).

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

131371241760 is a wasteful number, since it uses less digits than its factorization.

131371241760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360648 (or 360637 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 131371241760 in words is "one hundred thirty-one billion, three hundred seventy-one million, two hundred forty-one thousand, seven hundred sixty".