135324976539648 has 384 divisors, whose sum is σ = 413446980360960. Its totient is φ = 38558572216320.

The previous prime is 135324976539647. The next prime is 135324976539667. The reversal of 135324976539648 is 846935679423531.

135324976539648 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 (384).

It is a self number, because there is not a number n which added to its sum of digits gives 135324976539648.

It is not an unprimeable number, because it can be changed into a prime (135324976539647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50931491536 + ... + 50931494192.

It is an arithmetic number, because the mean of its divisors is an integer number (1076684844690).

Almost surely, 2^{135324976539648} 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 135324976539648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206723490180480).

135324976539648 is an abundant number, since it is smaller than the sum of its proper divisors (278122003821312).

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

135324976539648 is a wasteful number, since it uses less digits than its factorization.

135324976539648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5483 (or 5463 counting only the distinct ones).

The product of its digits is 3527193600, while the sum is 75.

The spelling of 135324976539648 in words is "one hundred thirty-five trillion, three hundred twenty-four billion, nine hundred seventy-six million, five hundred thirty-nine thousand, six hundred forty-eight".