130616548128 has 288 divisors, whose sum is σ = 410439923712. Its totient is φ = 39072768000.

The previous prime is 130616548123. The next prime is 130616548199. The reversal of 130616548128 is 821845616031.

130616548128 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 165 + 481 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (130616548123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113480353 + ... + 113481503.

It is an arithmetic number, because the mean of its divisors is an integer number (1425138624).

Almost surely, 2^130616548128 is an apocalyptic number.

130616548128 is a gapful number since it is divisible by the number (18) 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 130616548128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205219961856).

130616548128 is an abundant number, since it is smaller than the sum of its proper divisors (279823375584).

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

130616548128 is a wasteful number, since it uses less digits than its factorization.

130616548128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 130616548128 in words is "one hundred thirty billion, six hundred sixteen million, five hundred forty-eight thousand, one hundred twenty-eight".