135882049536 has 144 divisors (see below), whose sum is σ = 395094199500. Its totient is φ = 44989120512.

The previous prime is 135882049519. The next prime is 135882049543. The reversal of 135882049536 is 635940288531.

135882049536 is a `hidden beast` number, since 1 + 3 + 5 + 88 + 20 + 4 + 9 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 118710567936 + 17171481600 = 344544^2 + 131040^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×135882049536² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2721630 + ... + 2771106.

Almost surely, 2^135882049536 is an apocalyptic number.

135882049536 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 135882049536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197547099750).

135882049536 is an abundant number, since it is smaller than the sum of its proper divisors (259212149964).

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

135882049536 is a wasteful number, since it uses less digits than its factorization.

135882049536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49654 (or 49631 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 135882049536 in words is "one hundred thirty-five billion, eight hundred eighty-two million, forty-nine thousand, five hundred thirty-six".