130305137679 has 24 divisors (see below), whose sum is σ = 198172915200. Its totient is φ = 82277983440.

The previous prime is 130305137663. The next prime is 130305137701. The reversal of 130305137679 is 976731503031.

130305137679 is a `hidden beast` number, since 1 + 30 + 30 + 513 + 7 + 6 + 79 = 666.

It is not a de Polignac number, because 130305137679 - 2⁴ = 130305137663 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130305137579) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 629602 + ... + 810560.

It is an arithmetic number, because the mean of its divisors is an integer number (8257204800).

Almost surely, 2^130305137679 is an apocalyptic number.

130305137679 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

130305137679 is a deficient number, since it is larger than the sum of its proper divisors (67867777521).

130305137679 is a wasteful number, since it uses less digits than its factorization.

130305137679 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185195 (or 185192 counting only the distinct ones).

The product of its (nonzero) digits is 357210, while the sum is 45.

The spelling of 130305137679 in words is "one hundred thirty billion, three hundred five million, one hundred thirty-seven thousand, six hundred seventy-nine".