135285263127360 has 168 divisors, whose sum is σ = 466160354638056. Its totient is φ = 36011301212160.

The previous prime is 135285263127347. The next prime is 135285263127419. The reversal of 135285263127360 is 63721362582531.

135285263127360 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 8 + 5 + 263 + 12 + 7 + 360 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9163019594304 + 126122243533056 = 3027048^2 + 11230416^2 .

It is a junction number, because it is equal to n+sod(n) for n = 135285263127297 and 135285263127306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40562851 + ... + 43771170.

Almost surely, 2^{135285263127360} is an apocalyptic number.

135285263127360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135285263127360 is an abundant number, since it is smaller than the sum of its proper divisors (330875091510696).

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

135285263127360 is a wasteful number, since it uses less digits than its factorization.

135285263127360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84334601 (or 84334588 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 135285263127360 in words is "one hundred thirty-five trillion, two hundred eighty-five billion, two hundred sixty-three million, one hundred twenty-seven thousand, three hundred sixty".