135354879992448 has 512 divisors, whose sum is σ = 418890890880000. Its totient is φ = 42970592931840.

The previous prime is 135354879992363. The next prime is 135354879992491. The reversal of 135354879992448 is 844299978453531.

135354879992448 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 5 + 4 + 87 + 9 + 9 + 92 + 448 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5481939783 + ... + 5481964473.

It is an arithmetic number, because the mean of its divisors is an integer number (818146271250).

Almost surely, 2^{135354879992448} is an apocalyptic number.

135354879992448 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 135354879992448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209445445440000).

135354879992448 is an abundant number, since it is smaller than the sum of its proper divisors (283536010887552).

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

135354879992448 is a wasteful number, since it uses less digits than its factorization.

135354879992448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25485 (or 25467 counting only the distinct ones).

The product of its digits is 9405849600, while the sum is 81.

The spelling of 135354879992448 in words is "one hundred thirty-five trillion, three hundred fifty-four billion, eight hundred seventy-nine million, nine hundred ninety-two thousand, four hundred forty-eight".