135298111448448 has 1536 divisors, whose sum is σ = 465357718425600. Its totient is φ = 37331329351680.

The previous prime is 135298111448327. The next prime is 135298111448473. The reversal of 135298111448448 is 844844111892531.

It is a happy number.

135298111448448 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 98 + 11 + 14 + 484 + 48 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 293488310938 + ... + 293488311398.

It is an arithmetic number, because the mean of its divisors is an integer number (302967264600).

Almost surely, 2^{135298111448448} is an apocalyptic number.

135298111448448 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 135298111448448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232678859212800).

135298111448448 is an abundant number, since it is smaller than the sum of its proper divisors (330059606977152).

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

135298111448448 is a wasteful number, since it uses less digits than its factorization.

135298111448448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 965 counting only the distinct ones).

The product of its digits is 35389440, while the sum is 63.

The spelling of 135298111448448 in words is "one hundred thirty-five trillion, two hundred ninety-eight billion, one hundred eleven million, four hundred forty-eight thousand, four hundred forty-eight".