135422985024 has 280 divisors, whose sum is σ = 405960242688. Its totient is φ = 44635760640.

The previous prime is 135422985023. The next prime is 135422985037. The reversal of 135422985024 is 420589224531.

135422985024 is a `hidden beast` number, since 1 + 3 + 54 + 2 + 2 + 98 + 502 + 4 = 666.

135422985024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135422985023) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 230703259 + ... + 230703845.

Almost surely, 2^135422985024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135422985024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202980121344).

135422985024 is an abundant number, since it is smaller than the sum of its proper divisors (270537257664).

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

135422985024 is a wasteful number, since it uses less digits than its factorization.

135422985024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 135422985024 in words is "one hundred thirty-five billion, four hundred twenty-two million, nine hundred eighty-five thousand, twenty-four".