130431764340 has 144 divisors (see below), whose sum is σ = 408084859728. Its totient is φ = 33696110592.

The previous prime is 130431764311. The next prime is 130431764341. The reversal of 130431764340 is 43467134031.

130431764340 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 3 + 1 + 7 + 643 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 252237924 + 130179526416 = 15882^2 + 360804^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 130431764295 and 130431764304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130431764341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1509754 + ... + 1593806.

It is an arithmetic number, because the mean of its divisors is an integer number (2833922637).

Almost surely, 2^130431764340 is an apocalyptic number.

130431764340 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 130431764340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204042429864).

130431764340 is an abundant number, since it is smaller than the sum of its proper divisors (277653095388).

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

130431764340 is a wasteful number, since it uses less digits than its factorization.

130431764340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84338 (or 84333 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Adding to 130431764340 its reverse (43467134031), we get a palindrome (173898898371).

The spelling of 130431764340 in words is "one hundred thirty billion, four hundred thirty-one million, seven hundred sixty-four thousand, three hundred forty".