130540113648 has 480 divisors, whose sum is σ = 452044400640. Its totient is φ = 35925120000.

The previous prime is 130540113637. The next prime is 130540113653. The reversal of 130540113648 is 846311045031.

130540113648 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 4 + 0 + 1 + 1 + 3 + 648 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 217204548 + ... + 217205148.

It is an arithmetic number, because the mean of its divisors is an integer number (941759168).

Almost surely, 2^130540113648 is an apocalyptic number.

130540113648 is a gapful number since it is divisible by the number (18) 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 130540113648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226022200320).

130540113648 is an abundant number, since it is smaller than the sum of its proper divisors (321504286992).

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

130540113648 is a wasteful number, since it uses less digits than its factorization.

130540113648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 130540113648 its reverse (846311045031), we get a palindrome (976851158679).

The spelling of 130540113648 in words is "one hundred thirty billion, five hundred forty million, one hundred thirteen thousand, six hundred forty-eight".