130588105671936 has 1440 divisors, whose sum is σ = 445091884022016. Its totient is φ = 37730893824000.

The previous prime is 130588105671929. The next prime is 130588105671967. The reversal of 130588105671936 is 639176501885031.

130588105671936 is a `hidden beast` number, since 1 + 3 + 0 + 58 + 8 + 1 + 0 + 567 + 19 + 3 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 241382819826 + ... + 241382820366.

Almost surely, 2^{130588105671936} is an apocalyptic number.

130588105671936 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 130588105671936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222545942011008).

130588105671936 is an abundant number, since it is smaller than the sum of its proper divisors (314503778350080).

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

130588105671936 is a wasteful number, since it uses less digits than its factorization.

130588105671936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 130588105671936 in words is "one hundred thirty trillion, five hundred eighty-eight billion, one hundred five million, six hundred seventy-one thousand, nine hundred thirty-six".