130290195693735 has 768 divisors, whose sum is σ = 308461702348800. Its totient is φ = 49233468211200.

The previous prime is 130290195693733. The next prime is 130290195693773. The reversal of 130290195693735 is 537396591092031.

130290195693735 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 9 + 0 + 1 + 9 + 569 + 37 + 35 = 666.

It is not a de Polignac number, because 130290195693735 - 2¹ = 130290195693733 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130290195693733) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 45925340737 + ... + 45925343573.

It is an arithmetic number, because the mean of its divisors is an integer number (401642841600).

Almost surely, 2^{130290195693735} is an apocalyptic number.

130290195693735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

130290195693735 is an abundant number, since it is smaller than the sum of its proper divisors (178171506655065).

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

130290195693735 is a wasteful number, since it uses less digits than its factorization.

130290195693735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3172 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 41334300, while the sum is 63.

The spelling of 130290195693735 in words is "one hundred thirty trillion, two hundred ninety billion, one hundred ninety-five million, six hundred ninety-three thousand, seven hundred thirty-five".