130946862533760 has 1536 divisors, whose sum is σ = 559586764638720. Its totient is φ = 27476785889280.

The previous prime is 130946862533741. The next prime is 130946862533791. The reversal of 130946862533760 is 67335268649031.

130946862533760 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 4 + 6 + 8 + 6 + 253 + 376 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 111824817975 + ... + 111824819145.

It is an arithmetic number, because the mean of its divisors is an integer number (364314299895).

It is a 1-persistent number, because it is pandigital, but 2⋅130946862533760 = 261893725067520 is not.

Almost surely, 2^{130946862533760} is an apocalyptic number.

130946862533760 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 130946862533760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279793382319360).

130946862533760 is an abundant number, since it is smaller than the sum of its proper divisors (428639902104960).

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

130946862533760 is a wasteful number, since it uses less digits than its factorization.

130946862533760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 130946862533760 in words is "one hundred thirty trillion, nine hundred forty-six billion, eight hundred sixty-two million, five hundred thirty-three thousand, seven hundred sixty".