134812589184 has 384 divisors, whose sum is σ = 480561070080. Its totient is φ = 35324190720.

The previous prime is 134812589161. The next prime is 134812589221. The reversal of 134812589184 is 481985218431.

134812589184 is a `hidden beast` number, since 1 + 3 + 48 + 1 + 2 + 589 + 18 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 134812589184.

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 47 ways as a sum of consecutive naturals, for example, 16454529 + ... + 16462719.

It is an arithmetic number, because the mean of its divisors is an integer number (1251461120).

Almost surely, 2^134812589184 is an apocalyptic number.

134812589184 is a gapful number since it is divisible by the number (14) 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 134812589184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240280535040).

134812589184 is an abundant number, since it is smaller than the sum of its proper divisors (345748480896).

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

134812589184 is a wasteful number, since it uses less digits than its factorization.

134812589184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8388 (or 8373 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The spelling of 134812589184 in words is "one hundred thirty-four billion, eight hundred twelve million, five hundred eighty-nine thousand, one hundred eighty-four".