135205926053520 has 80 divisors (see below), whose sum is σ = 479015280881280. Its totient is φ = 30904211668992.

The previous prime is 135205926053461. The next prime is 135205926053533. The reversal of 135205926053520 is 25350629502531.

135205926053520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 135205926053520.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40239857265 + ... + 40239860624.

It is an arithmetic number, because the mean of its divisors is an integer number (5987691011016).

Almost surely, 2^{135205926053520} is an apocalyptic number.

135205926053520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135205926053520 is an abundant number, since it is smaller than the sum of its proper divisors (343809354827760).

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

135205926053520 is a wasteful number, since it uses less digits than its factorization.

135205926053520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80479717912 (or 80479717906 counting only the distinct ones).

The product of its (nonzero) digits is 2430000, while the sum is 48.

The spelling of 135205926053520 in words is "one hundred thirty-five trillion, two hundred five billion, nine hundred twenty-six million, fifty-three thousand, five hundred twenty".