130675217760 has 192 divisors, whose sum is σ = 481435315200. Its totient is φ = 33012665856.

The previous prime is 130675217723. The next prime is 130675217767. The reversal of 130675217760 is 67712576031.

130675217760 is a `hidden beast` number, since 1 + 3 + 0 + 67 + 521 + 7 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130675217767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 713944 + ... + 878103.

It is an arithmetic number, because the mean of its divisors is an integer number (2507475600).

Almost surely, 2^130675217760 is an apocalyptic number.

130675217760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130675217760 is an abundant number, since it is smaller than the sum of its proper divisors (350760097440).

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

130675217760 is a wasteful number, since it uses less digits than its factorization.

130675217760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592090 (or 1592076 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 130675217760 in words is "one hundred thirty billion, six hundred seventy-five million, two hundred seventeen thousand, seven hundred sixty".