130356008640 has 1344 divisors, whose sum is σ = 575949104640. Its totient is φ = 27590492160.

The previous prime is 130356008633. The next prime is 130356008663. The reversal of 130356008640 is 46800653031.

130356008640 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 5 + 6 + 0 + 0 + 8 + 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 = 130356008595 and 130356008604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 211273612 + ... + 211274228.

It is an arithmetic number, because the mean of its divisors is an integer number (428533560).

Almost surely, 2^130356008640 is an apocalyptic number.

130356008640 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 130356008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287974552320).

130356008640 is an abundant number, since it is smaller than the sum of its proper divisors (445593096000).

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

130356008640 is a wasteful number, since it uses less digits than its factorization.

130356008640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 130356008640 in words is "one hundred thirty billion, three hundred fifty-six million, eight thousand, six hundred forty".