135235524535632 has 240 divisors, whose sum is σ = 386624910672000. Its totient is φ = 44117758080000.

The previous prime is 135235524535607. The next prime is 135235524535789. The reversal of 135235524535632 is 236535425532531.

It is a happy number.

135235524535632 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 3 + 5 + 5 + 24 + 53 + 563 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9834588757 + ... + 9834602507.

It is an arithmetic number, because the mean of its divisors is an integer number (1610937127800).

Almost surely, 2^{135235524535632} is an apocalyptic number.

135235524535632 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 135235524535632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193312455336000).

135235524535632 is an abundant number, since it is smaller than the sum of its proper divisors (251389386136368).

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

135235524535632 is a wasteful number, since it uses less digits than its factorization.

135235524535632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21506 (or 21497 counting only the distinct ones).

The product of its digits is 48600000, while the sum is 54.

The spelling of 135235524535632 in words is "one hundred thirty-five trillion, two hundred thirty-five billion, five hundred twenty-four million, five hundred thirty-five thousand, six hundred thirty-two".