134081918738432 has 448 divisors, whose sum is σ = 328516256839680. Its totient is φ = 53413791399936.

The previous prime is 134081918738429. The next prime is 134081918738479. The reversal of 134081918738432 is 234837819180431.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42071513543 + ... + 42071516729.

It is an arithmetic number, because the mean of its divisors is an integer number (733295216160).

Almost surely, 2^{134081918738432} 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 134081918738432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164258128419840).

134081918738432 is an abundant number, since it is smaller than the sum of its proper divisors (194434338101248).

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

134081918738432 is a wasteful number, since it uses less digits than its factorization.

134081918738432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759 (or 3735 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 62.

The spelling of 134081918738432 in words is "one hundred thirty-four trillion, eighty-one billion, nine hundred eighteen million, seven hundred thirty-eight thousand, four hundred thirty-two".