131309072760 has 256 divisors, whose sum is σ = 421583616000. Its totient is φ = 32646225920.

The previous prime is 131309072753. The next prime is 131309072761. The reversal of 131309072760 is 67270903131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131309072761) 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, 17436676 + ... + 17444204.

It is an arithmetic number, because the mean of its divisors is an integer number (1646811000).

Almost surely, 2^131309072760 is an apocalyptic number.

131309072760 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 131309072760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210791808000).

131309072760 is an abundant number, since it is smaller than the sum of its proper divisors (290274543240).

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

131309072760 is a wasteful number, since it uses less digits than its factorization.

131309072760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7726 (or 7722 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

Adding to 131309072760 its reverse (67270903131), we get a palindrome (198579975891).

The spelling of 131309072760 in words is "one hundred thirty-one billion, three hundred nine million, seventy-two thousand, seven hundred sixty".