135104166800 has 60 divisors (see below), whose sum is σ = 324798261060. Its totient is φ = 54006620160.

The previous prime is 135104166773. The next prime is 135104166809. The reversal of 135104166800 is 8661401531.

It can be written as a sum of positive squares in 6 ways, for example, as 20879094016 + 114225072784 = 144496^2 + 337972^2 .

It is not an unprimeable number, because it can be changed into a prime (135104166809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 512456 + ... + 729944.

It is an arithmetic number, because the mean of its divisors is an integer number (5413304351).

Almost surely, 2^135104166800 is an apocalyptic number.

135104166800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135104166800 is an abundant number, since it is smaller than the sum of its proper divisors (189694094260).

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

135104166800 is a wasteful number, since it uses less digits than its factorization.

135104166800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219060 (or 219049 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 135104166800 in words is "one hundred thirty-five billion, one hundred four million, one hundred sixty-six thousand, eight hundred".