130458516300 has 432 divisors, whose sum is σ = 513560880000. Its totient is φ = 28249119360.

The previous prime is 130458516289. The next prime is 130458516323. The reversal of 130458516300 is 3615854031.

130458516300 is a `hidden beast` number, since 1 + 30 + 4 + 585 + 16 + 30 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2487751 + ... + 2539649.

Almost surely, 2^130458516300 is an apocalyptic number.

130458516300 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 130458516300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256780440000).

130458516300 is an abundant number, since it is smaller than the sum of its proper divisors (383102363700).

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

130458516300 is a wasteful number, since it uses less digits than its factorization.

130458516300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51955 (or 51935 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 130458516300 in words is "one hundred thirty billion, four hundred fifty-eight million, five hundred sixteen thousand, three hundred".