135287105069800 has 96 divisors (see below), whose sum is σ = 319210281734400. Its totient is φ = 53316789626880.

The previous prime is 135287105069797. The next prime is 135287105069801. The reversal of 135287105069800 is 8960501782531.

It is not an unprimeable number, because it can be changed into a prime (135287105069801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11309590 + ... + 19961989.

It is an arithmetic number, because the mean of its divisors is an integer number (3325107101400).

Almost surely, 2^{135287105069800} is an apocalyptic number.

135287105069800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135287105069800 is an abundant number, since it is smaller than the sum of its proper divisors (183923176664600).

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

135287105069800 is a wasteful number, since it uses less digits than its factorization.

135287105069800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31271915 (or 31271906 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 55.

The spelling of 135287105069800 in words is "one hundred thirty-five trillion, two hundred eighty-seven billion, one hundred five million, sixty-nine thousand, eight hundred".