135635086944 has 144 divisors (see below), whose sum is σ = 441138297600. Its totient is φ = 38724376320.

The previous prime is 135635086931. The next prime is 135635086981. The reversal of 135635086944 is 449680536531.

135635086944 is a `hidden beast` number, since 1 + 35 + 6 + 3 + 508 + 69 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 2796339 + ... + 2844429.

It is an arithmetic number, because the mean of its divisors is an integer number (3063460400).

Almost surely, 2^135635086944 is an apocalyptic number.

135635086944 is a gapful number since it is divisible by the number (14) 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 135635086944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220569148800).

135635086944 is an abundant number, since it is smaller than the sum of its proper divisors (305503210656).

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

135635086944 is a wasteful number, since it uses less digits than its factorization.

135635086944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49513 (or 49502 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 135635086944 in words is "one hundred thirty-five billion, six hundred thirty-five million, eighty-six thousand, nine hundred forty-four".