130368237929280 has 560 divisors, whose sum is σ = 516636532455120. Its totient is φ = 30984066957312.

The previous prime is 130368237929273. The next prime is 130368237929291. The reversal of 130368237929280 is 82929732863031.

130368237929280 is a `hidden beast` number, since 1 + 3 + 0 + 36 + 8 + 237 + 9 + 292 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5529984934464 + 124838252994816 = 2351592^2 + 11173104^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3101232 + ... + 16442448.

It is an arithmetic number, because the mean of its divisors is an integer number (922565236527).

Almost surely, 2^{130368237929280} is an apocalyptic number.

130368237929280 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 130368237929280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258318266227560).

130368237929280 is an abundant number, since it is smaller than the sum of its proper divisors (386268294525840).

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

130368237929280 is a wasteful number, since it uses less digits than its factorization.

130368237929280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13341288 (or 13341269 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 130368237929280 in words is "one hundred thirty trillion, three hundred sixty-eight billion, two hundred thirty-seven million, nine hundred twenty-nine thousand, two hundred eighty".