135544902685248 has 224 divisors, whose sum is σ = 432014375024640. Its totient is φ = 36639461376000.

The previous prime is 135544902685237. The next prime is 135544902685259. The reversal of 135544902685248 is 842586209445531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (135544902685237) and next prime (135544902685259).

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15401248 + ... + 22545248.

Almost surely, 2^{135544902685248} 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 135544902685248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216007187512320).

135544902685248 is an abundant number, since it is smaller than the sum of its proper divisors (296469472339392).

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

135544902685248 is a wasteful number, since it uses less digits than its factorization.

135544902685248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7144785 (or 7144775 counting only the distinct ones).

The product of its (nonzero) digits is 331776000, while the sum is 66.

The spelling of 135544902685248 in words is "one hundred thirty-five trillion, five hundred forty-four billion, nine hundred two million, six hundred eighty-five thousand, two hundred forty-eight".