130128516 has 108 divisors (see below), whose sum is σ = 388402560. Its totient is φ = 36620640.

The previous prime is 130128469. The next prime is 130128517. The reversal of 130128516 is 615821031.

130128516 is a `hidden beast` number, since 130 + 12 + 8 + 516 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 130128516.

It is not an unprimeable number, because it can be changed into a prime (130128517) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 124725 + ... + 125763.

It is an arithmetic number, because the mean of its divisors is an integer number (3596320).

Almost surely, 2^130128516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130128516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194201280).

130128516 is an abundant number, since it is smaller than the sum of its proper divisors (258274044).

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

130128516 is a wasteful number, since it uses less digits than its factorization.

130128516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 130128516 is about 11407.3886582338. The cubic root of 130128516 is about 506.7465792313.

Adding to 130128516 its reverse (615821031), we get a palindrome (745949547).

It can be divided in two parts, 13012 and 8516, that added together give a triangular number (21528 = T₂₀₇).

The spelling of 130128516 in words is "one hundred thirty million, one hundred twenty-eight thousand, five hundred sixteen".