135348668900 has 18 divisors (see below), whose sum is σ = 293706611730. Its totient is φ = 54139467520.

The previous prime is 135348668887. The next prime is 135348668971. The reversal of 135348668900 is 9866843531.

It can be written as a sum of positive squares in 3 ways, for example, as 46644768676 + 88703900224 = 215974^2 + 297832^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 676743245 + ... + 676743444.

It is an arithmetic number, because the mean of its divisors is an integer number (16317033985).

Almost surely, 2^135348668900 is an apocalyptic number.

135348668900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135348668900 is an abundant number, since it is smaller than the sum of its proper divisors (158357942830).

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

135348668900 is a wasteful number, since it uses less digits than its factorization.

135348668900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353486703 (or 1353486696 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 53.

The spelling of 135348668900 in words is "one hundred thirty-five billion, three hundred forty-eight million, six hundred sixty-eight thousand, nine hundred".