130282547760 has 240 divisors, whose sum is σ = 464930331840. Its totient is φ = 32581140480.

The previous prime is 130282547749. The next prime is 130282547779. The reversal of 130282547760 is 67745282031.

130282547760 is a `hidden beast` number, since 1 + 30 + 2 + 8 + 2 + 547 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3420501 + ... + 3458379.

It is an arithmetic number, because the mean of its divisors is an integer number (1937209716).

Almost surely, 2^130282547760 is an apocalyptic number.

130282547760 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 130282547760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232465165920).

130282547760 is an abundant number, since it is smaller than the sum of its proper divisors (334647784080).

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

130282547760 is a wasteful number, since it uses less digits than its factorization.

130282547760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38196 (or 38187 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 130282547760 in words is "one hundred thirty billion, two hundred eighty-two million, five hundred forty-seven thousand, seven hundred sixty".