135218976704448 has 1008 divisors, whose sum is σ = 462641399815680. Its totient is φ = 34726034423808.

The previous prime is 135218976704443. The next prime is 135218976704459. The reversal of 135218976704448 is 844407679812531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135218976704443) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9169245811 + ... + 9169260557.

It is a 1-persistent number, because it is pandigital, but 2⋅135218976704448 = 270437953408896 is not.

Almost surely, 2^{135218976704448} 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 135218976704448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231320699907840).

135218976704448 is an abundant number, since it is smaller than the sum of its proper divisors (327422423111232).

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

135218976704448 is a wasteful number, since it uses less digits than its factorization.

135218976704448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14954 (or 14924 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 69.

The spelling of 135218976704448 in words is "one hundred thirty-five trillion, two hundred eighteen billion, nine hundred seventy-six million, seven hundred four thousand, four hundred forty-eight".