135622733660928 has 576 divisors, whose sum is σ = 418146468311040. Its totient is φ = 43312892313600.

The previous prime is 135622733660917. The next prime is 135622733660933. The reversal of 135622733660928 is 829066337226531.

It is a happy number.

135622733660928 is a `hidden beast` number, since 1 + 3 + 56 + 227 + 336 + 6 + 0 + 9 + 28 = 666.

135622733660928 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 (576).

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 63 ways as a sum of consecutive naturals, for example, 9453030651 + ... + 9453044997.

Almost surely, 2^{135622733660928} is an apocalyptic number.

135622733660928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135622733660928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209073234155520).

135622733660928 is an abundant number, since it is smaller than the sum of its proper divisors (282523734650112).

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

135622733660928 is a wasteful number, since it uses less digits than its factorization.

135622733660928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14841 (or 14821 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 135622733660928 in words is "one hundred thirty-five trillion, six hundred twenty-two billion, seven hundred thirty-three million, six hundred sixty thousand, nine hundred twenty-eight".