135685455516 has 144 divisors (see below), whose sum is σ = 391777626240. Its totient is φ = 39249774720.

The previous prime is 135685455481. The next prime is 135685455517. The reversal of 135685455516 is 615554586531.

135685455516 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 85 + 4 + 5 + 551 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135685455517) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1106611 + ... + 1223093.

It is an arithmetic number, because the mean of its divisors is an integer number (2720677960).

Almost surely, 2^135685455516 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 135685455516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195888813120).

135685455516 is an abundant number, since it is smaller than the sum of its proper divisors (256092170724).

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

135685455516 is a wasteful number, since it uses less digits than its factorization.

135685455516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116656 (or 116651 counting only the distinct ones).

The product of its digits is 10800000, while the sum is 54.

The spelling of 135685455516 in words is "one hundred thirty-five billion, six hundred eighty-five million, four hundred fifty-five thousand, five hundred sixteen".