130761661905 has 192 divisors, whose sum is σ = 290248358400. Its totient is φ = 56257431552.

The previous prime is 130761661903. The next prime is 130761661913. The reversal of 130761661905 is 509166167031.

130761661905 is a `hidden beast` number, since 13 + 0 + 7 + 6 + 16 + 619 + 0 + 5 = 666.

It is not a de Polignac number, because 130761661905 - 2¹ = 130761661903 is a prime.

It is a super-2 number, since 2×130761661905² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (130761661903) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 7075437 + ... + 7093893.

It is an arithmetic number, because the mean of its divisors is an integer number (1511710200).

Almost surely, 2^130761661905 is an apocalyptic number.

130761661905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130761661905 is an abundant number, since it is smaller than the sum of its proper divisors (159486696495).

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

130761661905 is an equidigital number, since it uses as much as digits as its factorization.

130761661905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18515 (or 18489 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 130761661905 in words is "one hundred thirty billion, seven hundred sixty-one million, six hundred sixty-one thousand, nine hundred five".