130543281792000 has 6336 divisors, whose sum is σ = 643998632659200. Its totient is φ = 25053364224000.

The previous prime is 130543281791941. The next prime is 130543281792013. The reversal of 130543281792000 is 297182345031.

It is a happy number.

130543281792000 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 432 + 8 + 1 + 7 + 9 + 200 + 0 = 666.

130543281792000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (6336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 876129407926 + ... + 876129408074.

Almost surely, 2^{130543281792000} is an apocalyptic number.

130543281792000 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 130543281792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321999316329600).

130543281792000 is an abundant number, since it is smaller than the sum of its proper divisors (513455350867200).

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

130543281792000 is a wasteful number, since it uses less digits than its factorization.

130543281792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 130543281792000 in words is "one hundred thirty trillion, five hundred forty-three billion, two hundred eighty-one million, seven hundred ninety-two thousand".