130587073344 has 672 divisors, whose sum is σ = 479783485440. Its totient is φ = 34101430272.

The previous prime is 130587073303. The next prime is 130587073349. The reversal of 130587073344 is 443370785031.

130587073344 is a `hidden beast` number, since 1 + 30 + 587 + 0 + 7 + 3 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 130587073344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130587073349) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 259616197 + ... + 259616699.

It is an arithmetic number, because the mean of its divisors is an integer number (713963520).

Almost surely, 2^130587073344 is an apocalyptic number.

130587073344 is a gapful number since it is divisible by the number (14) 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 130587073344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239891742720).

130587073344 is an abundant number, since it is smaller than the sum of its proper divisors (349196412096).

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

130587073344 is a wasteful number, since it uses less digits than its factorization.

130587073344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 130587073344 in words is "one hundred thirty billion, five hundred eighty-seven million, seventy-three thousand, three hundred forty-four".