164135450800300 has 144 divisors (see below), whose sum is σ = 422534176081920. Its totient is φ = 54155443392000.

The previous prime is 164135450800289. The next prime is 164135450800411. The reversal of 164135450800300 is 3008054531461.

164135450800300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17243761 + ... + 25012360.

It is an arithmetic number, because the mean of its divisors is an integer number (2934265111680).

Almost surely, 2^{164135450800300} is an apocalyptic number.

164135450800300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164135450800300 is an abundant number, since it is smaller than the sum of its proper divisors (258398725281620).

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

164135450800300 is a wasteful number, since it uses less digits than its factorization.

164135450800300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42256352 (or 42256345 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 164135450800300 in words is "one hundred sixty-four trillion, one hundred thirty-five billion, four hundred fifty million, eight hundred thousand, three hundred".