130509146880 has 1728 divisors, whose sum is σ = 586260799488. Its totient is φ = 26117406720.

The previous prime is 130509146857. The next prime is 130509146881. The reversal of 130509146880 is 88641905031.

130509146880 is a `hidden beast` number, since 1 + 3 + 0 + 509 + 1 + 4 + 68 + 80 = 666.

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 (130509146881) 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, 1572399319 + ... + 1572399401.

It is an arithmetic number, because the mean of its divisors is an integer number (339271296).

Almost surely, 2^130509146880 is an apocalyptic number.

130509146880 is a gapful number since it is divisible by the number (10) 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 130509146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293130399744).

130509146880 is an abundant number, since it is smaller than the sum of its proper divisors (455751652608).

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

130509146880 is a wasteful number, since it uses less digits than its factorization.

130509146880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 130509146880 in words is "one hundred thirty billion, five hundred nine million, one hundred forty-six thousand, eight hundred eighty".