135105442566200 has 24 divisors (see below), whose sum is σ = 314120153966880. Its totient is φ = 54042177026400.

The previous prime is 135105442566167. The next prime is 135105442566223. The reversal of 135105442566200 is 2665244501531.

It is a super-2 number, since 2×135105442566200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 337763606216 + ... + 337763606615.

It is an arithmetic number, because the mean of its divisors is an integer number (13088339748620).

Almost surely, 2^{135105442566200} is an apocalyptic number.

135105442566200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135105442566200 is an abundant number, since it is smaller than the sum of its proper divisors (179014711400680).

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

135105442566200 is a wasteful number, since it uses less digits than its factorization.

135105442566200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675527212847 (or 675527212838 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 44.

The spelling of 135105442566200 in words is "one hundred thirty-five trillion, one hundred five billion, four hundred forty-two million, five hundred sixty-six thousand, two hundred".