135305153622 has 64 divisors (see below), whose sum is σ = 303936364800. Its totient is φ = 44614229760.

The previous prime is 135305153609. The next prime is 135305153647. The reversal of 135305153622 is 226351503531.

135305153622 is a `hidden beast` number, since 1 + 3 + 53 + 0 + 51 + 536 + 22 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3975654 + ... + 4009542.

It is an arithmetic number, because the mean of its divisors is an integer number (4749005700).

Almost surely, 2^135305153622 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135305153622, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151968182400).

135305153622 is an abundant number, since it is smaller than the sum of its proper divisors (168631211178).

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

135305153622 is a wasteful number, since it uses less digits than its factorization.

135305153622 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34698 (or 34692 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 135305153622 in words is "one hundred thirty-five billion, three hundred five million, one hundred fifty-three thousand, six hundred twenty-two".