135344221632 has 168 divisors, whose sum is σ = 398750180400. Its totient is φ = 43859570688.

The previous prime is 135344221601. The next prime is 135344221643. The reversal of 135344221632 is 236122443531.

135344221632 is a `hidden beast` number, since 1 + 3 + 53 + 442 + 2 + 163 + 2 = 666.

135344221632 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 42174844 + ... + 42178052.

Almost surely, 2^135344221632 is an apocalyptic number.

135344221632 is a gapful number since it is divisible by the number (12) 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 135344221632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199375090200).

135344221632 is an abundant number, since it is smaller than the sum of its proper divisors (263405958768).

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

135344221632 is a wasteful number, since it uses less digits than its factorization.

135344221632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5243 (or 5230 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The spelling of 135344221632 in words is "one hundred thirty-five billion, three hundred forty-four million, two hundred twenty-one thousand, six hundred thirty-two".