135086690368 has 168 divisors, whose sum is σ = 330804984312. Its totient is φ = 54384132096.

The previous prime is 135086690359. The next prime is 135086690383. The reversal of 135086690368 is 863096680531.

It can be written as a sum of positive squares in 4 ways, for example, as 28753306624 + 106333383744 = 169568^2 + 326088^2 .

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, 31611880 + ... + 31616152.

Almost surely, 2^135086690368 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 135086690368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165402492156).

135086690368 is an abundant number, since it is smaller than the sum of its proper divisors (195718293944).

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

135086690368 is a wasteful number, since it uses less digits than its factorization.

135086690368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4909 (or 4892 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 55.

The spelling of 135086690368 in words is "one hundred thirty-five billion, eighty-six million, six hundred ninety thousand, three hundred sixty-eight".