134584244928 has 1120 divisors, whose sum is σ = 509840179200. Its totient is φ = 34237292544.

The previous prime is 134584244897. The next prime is 134584244929. The reversal of 134584244928 is 829442485431.

134584244928 is a `hidden beast` number, since 1 + 34 + 584 + 2 + 4 + 4 + 9 + 28 = 666.

It is a super-3 number, since 3×134584244928³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (8847360) is a multiple of the sum of its prime divisors (240).

It is not an unprimeable number, because it can be changed into a prime (134584244929) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 1059718401 + ... + 1059718527.

Almost surely, 2^134584244928 is an apocalyptic number.

134584244928 is a gapful number since it is divisible by the number (18) 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 134584244928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254920089600).

134584244928 is an abundant number, since it is smaller than the sum of its proper divisors (375255934272).

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

134584244928 is a wasteful number, since it uses less digits than its factorization.

134584244928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 240 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The spelling of 134584244928 in words is "one hundred thirty-four billion, five hundred eighty-four million, two hundred forty-four thousand, nine hundred twenty-eight".