130145410116 has 144 divisors (see below), whose sum is σ = 354842062848. Its totient is φ = 40101969600.

The previous prime is 130145410081. The next prime is 130145410121. The reversal of 130145410116 is 611014541031.

130145410116 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 4 + 541 + 0 + 116 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 130145410116.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21224371 + ... + 21230501.

It is an arithmetic number, because the mean of its divisors is an integer number (2464180992).

Almost surely, 2^130145410116 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 130145410116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177421031424).

130145410116 is an abundant number, since it is smaller than the sum of its proper divisors (224696652732).

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

130145410116 is a wasteful number, since it uses less digits than its factorization.

130145410116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7022 (or 7017 counting only the distinct ones).

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

Adding to 130145410116 its reverse (611014541031), we get a palindrome (741159951147).

The spelling of 130145410116 in words is "one hundred thirty billion, one hundred forty-five million, four hundred ten thousand, one hundred sixteen".