130128320 has 168 divisors, whose sum is σ = 370752624. Its totient is φ = 43352064.

The previous prime is 130128259. The next prime is 130128329. The reversal of 130128320 is 23821031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 130128292 and 130128301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130128329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 674144 + ... + 674336.

Almost surely, 2^130128320 is an apocalyptic number.

130128320 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 130128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185376312).

130128320 is an abundant number, since it is smaller than the sum of its proper divisors (240624304).

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

130128320 is a wasteful number, since it uses less digits than its factorization.

130128320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 130128320 is about 11407.3800673073. The cubic root of 130128320 is about 506.7463248101.

Adding to 130128320 its reverse (23821031), we get a palindrome (153949351).

The spelling of 130128320 in words is "one hundred thirty million, one hundred twenty-eight thousand, three hundred twenty".