130282992000 has 768 divisors, whose sum is σ = 554638855680. Its totient is φ = 29772748800.

The previous prime is 130282991981. The next prime is 130282992017. The reversal of 130282992000 is 299282031.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 27213607 + ... + 27218393.

It is an arithmetic number, because the mean of its divisors is an integer number (722186010).

Almost surely, 2^130282992000 is an apocalyptic number.

130282992000 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 130282992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277319427840).

130282992000 is an abundant number, since it is smaller than the sum of its proper divisors (424355863680).

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

130282992000 is an frugal number, since it uses more digits than its factorization.

130282992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4838 (or 4804 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 130282992000 in words is "one hundred thirty billion, two hundred eighty-two million, nine hundred ninety-two thousand".