135518082048 has 176 divisors, whose sum is σ = 415180728000. Its totient is φ = 43614756864.

The previous prime is 135518081999. The next prime is 135518082053. The reversal of 135518082048 is 840280815531.

135518082048 is a `hidden beast` number, since 1 + 355 + 180 + 82 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 135518081994 and 135518082012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 717283 + ... + 886301.

Almost surely, 2^135518082048 is an apocalyptic number.

135518082048 is a gapful number since it is divisible by the number (18) 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 135518082048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207590364000).

135518082048 is an abundant number, since it is smaller than the sum of its proper divisors (279662645952).

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

135518082048 is a wasteful number, since it uses less digits than its factorization.

135518082048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169077 (or 169053 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

Adding to 135518082048 its reverse (840280815531), we get a palindrome (975798897579).

The spelling of 135518082048 in words is "one hundred thirty-five billion, five hundred eighteen million, eighty-two thousand, forty-eight".