135606633984 has 240 divisors, whose sum is σ = 409136393952. Its totient is φ = 43157520384.

The previous prime is 135606633973. The next prime is 135606634001. The reversal of 135606633984 is 489336606531.

135606633984 is a `hidden beast` number, since 13 + 560 + 6 + 63 + 3 + 9 + 8 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 135606633984.

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, 90827542 + ... + 90829034.

Almost surely, 2^135606633984 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 135606633984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204568196976).

135606633984 is an abundant number, since it is smaller than the sum of its proper divisors (273529759968).

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

135606633984 is a wasteful number, since it uses less digits than its factorization.

135606633984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2397 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 135606633984 in words is "one hundred thirty-five billion, six hundred six million, six hundred thirty-three thousand, nine hundred eighty-four".