135345065663124 has 216 divisors, whose sum is σ = 373624354583480. Its totient is φ = 41272533614592.

The previous prime is 135345065663083. The next prime is 135345065663149. The reversal of 135345065663124 is 421366560543531.

135345065663124 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 4 + 50 + 6 + 566 + 3 + 1 + 24 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 11484860100624 + 123860205562500 = 3388932^2 + 11129250^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 388238304 + ... + 388586760.

Almost surely, 2^{135345065663124} 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 135345065663124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186812177291740).

135345065663124 is an abundant number, since it is smaller than the sum of its proper divisors (238279288920356).

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

135345065663124 is a wasteful number, since it uses less digits than its factorization.

135345065663124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349547 (or 349525 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 54.

The spelling of 135345065663124 in words is "one hundred thirty-five trillion, three hundred forty-five billion, sixty-five million, six hundred sixty-three thousand, one hundred twenty-four".