135135337168 has 90 divisors (see below), whose sum is σ = 286791207122. Its totient is φ = 61320416640.

The previous prime is 135135337151. The next prime is 135135337261. The reversal of 135135337168 is 861733531531.

It can be written as a sum of positive squares in only one way, i.e., 93555233424 + 41580103744 = 305868^2 + 203912^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 376421373 + ... + 376421731.

Almost surely, 2^135135337168 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 135135337168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143395603561).

135135337168 is an abundant number, since it is smaller than the sum of its proper divisors (151655869954).

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

135135337168 is an frugal number, since it uses more digits than its factorization.

135135337168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 445 counting only the distinct ones).

The product of its digits is 680400, while the sum is 46.

Adding to 135135337168 its reverse (861733531531), we get a palindrome (996868868699).

The spelling of 135135337168 in words is "one hundred thirty-five billion, one hundred thirty-five million, three hundred thirty-seven thousand, one hundred sixty-eight".