135527797682784 has 288 divisors, whose sum is σ = 417224222775360. Its totient is φ = 41482869313536.

The previous prime is 135527797682741. The next prime is 135527797682821. The reversal of 135527797682784 is 487286797725531.

135527797682784 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 277 + 9 + 76 + 8 + 278 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 7793872362 + ... + 7793889750.

It is an arithmetic number, because the mean of its divisors is an integer number (1448695217970).

Almost surely, 2^{135527797682784} 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 135527797682784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208612111387680).

135527797682784 is an abundant number, since it is smaller than the sum of its proper divisors (281696425092576).

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

135527797682784 is a wasteful number, since it uses less digits than its factorization.

135527797682784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28182 (or 28171 counting only the distinct ones).

The product of its digits is 9957427200, while the sum is 81.

The spelling of 135527797682784 in words is "one hundred thirty-five trillion, five hundred twenty-seven billion, seven hundred ninety-seven million, six hundred eighty-two thousand, seven hundred eighty-four".