135240532336 has 240 divisors, whose sum is σ = 337843105824. Its totient is φ = 51962093568.

The previous prime is 135240532309. The next prime is 135240532387. The reversal of 135240532336 is 633235042531.

135240532336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 135240532295 and 135240532304.

It is a congruent number.

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, 49847716 + ... + 49850428.

Almost surely, 2^135240532336 is an apocalyptic number.

135240532336 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 135240532336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168921552912).

135240532336 is an abundant number, since it is smaller than the sum of its proper divisors (202602573488).

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

135240532336 is a wasteful number, since it uses less digits than its factorization.

135240532336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 37.

Adding to 135240532336 its reverse (633235042531), we get a palindrome (768475574867).

The spelling of 135240532336 in words is "one hundred thirty-five billion, two hundred forty million, five hundred thirty-two thousand, three hundred thirty-six".