135965715516 has 144 divisors (see below), whose sum is σ = 359329411168. Its totient is φ = 43306099200.

The previous prime is 135965715499. The next prime is 135965715559. The reversal of 135965715516 is 615517569531.

135965715516 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 6 + 571 + 55 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88807671 + ... + 88809201.

Almost surely, 2^135965715516 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 135965715516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179664705584).

135965715516 is an abundant number, since it is smaller than the sum of its proper divisors (223363695652).

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

135965715516 is a wasteful number, since it uses less digits than its factorization.

135965715516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732 (or 2727 counting only the distinct ones).

The product of its digits is 4252500, while the sum is 54.

The spelling of 135965715516 in words is "one hundred thirty-five billion, nine hundred sixty-five million, seven hundred fifteen thousand, five hundred sixteen".