135456508743168 has 320 divisors, whose sum is σ = 390374513717760. Its totient is φ = 41610315005952.

The previous prime is 135456508743151. The next prime is 135456508743187. The reversal of 135456508743168 is 861347805654531.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 135456508743099 and 135456508743108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 478305546 + ... + 478588662.

It is an arithmetic number, because the mean of its divisors is an integer number (1219920355368).

Almost surely, 2^{135456508743168} 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 135456508743168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195187256858880).

135456508743168 is an abundant number, since it is smaller than the sum of its proper divisors (254918004974592).

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

135456508743168 is a wasteful number, since it uses less digits than its factorization.

135456508743168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283657 (or 283641 counting only the distinct ones).

The product of its (nonzero) digits is 290304000, while the sum is 66.

The spelling of 135456508743168 in words is "one hundred thirty-five trillion, four hundred fifty-six billion, five hundred eight million, seven hundred forty-three thousand, one hundred sixty-eight".