130308900480 has 768 divisors, whose sum is σ = 522766483200. Its totient is φ = 29560012800.

The previous prime is 130308900451. The next prime is 130308900481. The reversal of 130308900480 is 84009803031.

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

It is not an unprimeable number, because it can be changed into a prime (130308900481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 334984126 + ... + 334984514.

It is an arithmetic number, because the mean of its divisors is an integer number (680685525).

Almost surely, 2^130308900480 is an apocalyptic number.

130308900480 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 130308900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261383241600).

130308900480 is an abundant number, since it is smaller than the sum of its proper divisors (392457582720).

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

130308900480 is a wasteful number, since it uses less digits than its factorization.

130308900480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 130308900480 in words is "one hundred thirty billion, three hundred eight million, nine hundred thousand, four hundred eighty".