130728500640 has 192 divisors, whose sum is σ = 469916536320. Its totient is φ = 33918704640.

The previous prime is 130728500611. The next prime is 130728500647. The reversal of 130728500640 is 46005827031.

130728500640 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 2 + 8 + 5 + 0 + 0 + 640 = 666.

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 = 130728500595 and 130728500604.

It is not an unprimeable number, because it can be changed into a prime (130728500647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249096 + ... + 568775.

It is an arithmetic number, because the mean of its divisors is an integer number (2447481960).

Almost surely, 2^130728500640 is an apocalyptic number.

130728500640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130728500640 is an abundant number, since it is smaller than the sum of its proper divisors (339188035680).

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

130728500640 is a wasteful number, since it uses less digits than its factorization.

130728500640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817932 (or 817918 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 130728500640 in words is "one hundred thirty billion, seven hundred twenty-eight million, five hundred thousand, six hundred forty".