130694181309360 has 640 divisors, whose sum is σ = 467751182008320. Its totient is φ = 33505624857600.

The previous prime is 130694181309311. The next prime is 130694181309371. The reversal of 130694181309360 is 63903181496031.

130694181309360 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 9 + 418 + 130 + 93 + 6 + 0 = 666.

130694181309360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 130694181309297 and 130694181309306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31791333705 + ... + 31791337815.

It is an arithmetic number, because the mean of its divisors is an integer number (730861221888).

Almost surely, 2^{130694181309360} is an apocalyptic number.

130694181309360 is a gapful number since it is divisible by the number (10) 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 130694181309360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233875591004160).

130694181309360 is an abundant number, since it is smaller than the sum of its proper divisors (337057000698960).

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

130694181309360 is a wasteful number, since it uses less digits than its factorization.

130694181309360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7174 (or 7162 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 130694181309360 in words is "one hundred thirty trillion, six hundred ninety-four billion, one hundred eighty-one million, three hundred nine thousand, three hundred sixty".