130505645088 has 324 divisors, whose sum is σ = 467489444058. Its totient is φ = 34418442240.

The previous prime is 130505645057. The next prime is 130505645113. The reversal of 130505645088 is 880546505031.

130505645088 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 0 + 564 + 5 + 0 + 88 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 80467534224 + 50038110864 = 283668^2 + 223692^2 .

It is a congruent number.

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 53 ways as a sum of consecutive naturals, for example, 2357568 + ... + 2412288.

Almost surely, 2^130505645088 is an apocalyptic number.

130505645088 is a gapful number since it is divisible by the number (18) 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 130505645088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233744722029).

130505645088 is an abundant number, since it is smaller than the sum of its proper divisors (336983798970).

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

130505645088 is a wasteful number, since it uses less digits than its factorization.

130505645088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54777 (or 54746 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 130505645088 in words is "one hundred thirty billion, five hundred five million, six hundred forty-five thousand, eighty-eight".