130695737760 has 384 divisors, whose sum is σ = 550300262400. Its totient is φ = 28300907520.

The previous prime is 130695737759. The next prime is 130695737773. The reversal of 130695737760 is 67737596031.

130695737760 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 9 + 573 + 7 + 7 + 60 = 666.

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 = 130695737697 and 130695737706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 460825 + ... + 688295.

It is an arithmetic number, because the mean of its divisors is an integer number (1433073600).

Almost surely, 2^130695737760 is an apocalyptic number.

130695737760 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 130695737760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275150131200).

130695737760 is an abundant number, since it is smaller than the sum of its proper divisors (419604524640).

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

130695737760 is a wasteful number, since it uses less digits than its factorization.

130695737760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227521 (or 227507 counting only the distinct ones).

The product of its (nonzero) digits is 5000940, while the sum is 54.

The spelling of 130695737760 in words is "one hundred thirty billion, six hundred ninety-five million, seven hundred thirty-seven thousand, seven hundred sixty".