130230092185600 has 405 divisors, whose sum is σ = 355209069352683. Its totient is φ = 47327182848000.

The previous prime is 130230092185489. The next prime is 130230092185601. The reversal of 130230092185600 is 6581290032031.

The square root of 130230092185600 is 11411840.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2589988110336 + 127640104075264 = 1609344^2 + 11297792^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130230092185601) 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 26 ways as a sum of consecutive naturals, for example, 80339352790 + ... + 80339354410.

Almost surely, 2^{130230092185600} is an apocalyptic number.

130230092185600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130230092185600 is the 11411840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130230092185600

130230092185600 is an abundant number, since it is smaller than the sum of its proper divisors (224978977167083).

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

130230092185600 is an frugal number, since it uses more digits than its factorization.

130230092185600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 130230092185600 in words is "one hundred thirty trillion, two hundred thirty billion, ninety-two million, one hundred eighty-five thousand, six hundred".