130896135216 has 320 divisors, whose sum is σ = 474369638400. Its totient is φ = 33567955200.

The previous prime is 130896135193. The next prime is 130896135259. The reversal of 130896135216 is 612531698031.

130896135216 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 9 + 613 + 5 + 21 + 6 = 666.

It is a super-3 number, since 3×130896135216³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2602951 + ... + 2652761.

It is an arithmetic number, because the mean of its divisors is an integer number (1482405120).

Almost surely, 2^130896135216 is an apocalyptic number.

130896135216 is a gapful number since it is divisible by the number (16) 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 130896135216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237184819200).

130896135216 is an abundant number, since it is smaller than the sum of its proper divisors (343473503184).

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

130896135216 is a wasteful number, since it uses less digits than its factorization.

130896135216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49925 (or 49913 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 130896135216 in words is "one hundred thirty billion, eight hundred ninety-six million, one hundred thirty-five thousand, two hundred sixteen".