145830804606300 has 288 divisors, whose sum is σ = 504177138097920. Its totient is φ = 32125981798400.

The previous prime is 145830804606259. The next prime is 145830804606323. The reversal of 145830804606300 is 3606408038541.

It is a self number, because there is not a number n which added to its sum of digits gives 145830804606300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43191714 + ... + 46445513.

It is an arithmetic number, because the mean of its divisors is an integer number (1750615062840).

Almost surely, 2^{145830804606300} is an apocalyptic number.

145830804606300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145830804606300 is an abundant number, since it is smaller than the sum of its proper divisors (358346333491620).

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

145830804606300 is a wasteful number, since it uses less digits than its factorization.

145830804606300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89637301 (or 89637294 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 145830804606300 in words is "one hundred forty-five trillion, eight hundred thirty billion, eight hundred four million, six hundred six thousand, three hundred".