135595735296 has 432 divisors, whose sum is σ = 448855924608. Its totient is φ = 36143923200.

The previous prime is 135595735277. The next prime is 135595735309. The reversal of 135595735296 is 692537595531.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35485066 + ... + 35488886.

It is an arithmetic number, because the mean of its divisors is an integer number (1039018344).

Almost surely, 2^135595735296 is an apocalyptic number.

135595735296 is a gapful number since it is divisible by the number (16) 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 135595735296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224427962304).

135595735296 is an abundant number, since it is smaller than the sum of its proper divisors (313260189312).

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

135595735296 is a wasteful number, since it uses less digits than its factorization.

135595735296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3918 (or 3897 counting only the distinct ones).

The product of its digits is 38272500, while the sum is 60.

The spelling of 135595735296 in words is "one hundred thirty-five billion, five hundred ninety-five million, seven hundred thirty-five thousand, two hundred ninety-six".