130140146160216 has 192 divisors, whose sum is σ = 368824026823200. Its totient is φ = 41402237184000.

The previous prime is 130140146160191. The next prime is 130140146160223. The reversal of 130140146160216 is 612061641041031.

130140146160216 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 4 + 0 + 1 + 46 + 1 + 602 + 1 + 6 = 666.

It is a super-3 number, since 3×130140146160216³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129617811 + ... + 130617981.

Almost surely, 2^{130140146160216} 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 130140146160216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184412013411600).

130140146160216 is an abundant number, since it is smaller than the sum of its proper divisors (238683880662984).

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

130140146160216 is a wasteful number, since it uses less digits than its factorization.

130140146160216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000930 (or 1000923 counting only the distinct ones).

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

The spelling of 130140146160216 in words is "one hundred thirty trillion, one hundred forty billion, one hundred forty-six million, one hundred sixty thousand, two hundred sixteen".