135146918424960 has 576 divisors, whose sum is σ = 535064908416480. Its totient is φ = 31310051475456.

The previous prime is 135146918424953. The next prime is 135146918424971. The reversal of 135146918424960 is 69424819641531.

135146918424960 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 4 + 69 + 1 + 84 + 2 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12465117 + ... + 20631843.

Almost surely, 2^{135146918424960} is an apocalyptic number.

135146918424960 is a gapful number since it is divisible by the number (10) 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 135146918424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267532454208240).

135146918424960 is an abundant number, since it is smaller than the sum of its proper divisors (399917989991520).

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

135146918424960 is a wasteful number, since it uses less digits than its factorization.

135146918424960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8166795 (or 8166767 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 135146918424960 in words is "one hundred thirty-five trillion, one hundred forty-six billion, nine hundred eighteen million, four hundred twenty-four thousand, nine hundred sixty".