134424953929728 has 1440 divisors, whose sum is σ = 516989702541312. Its totient is φ = 32618092953600.

The previous prime is 134424953929723. The next prime is 134424953929759. The reversal of 134424953929728 is 827929359424431.

134424953929728 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 2 + 49 + 539 + 29 + 7 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (134424953929723) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 11229210783 + ... + 11229222753.

Almost surely, 2^{134424953929728} is an apocalyptic number.

134424953929728 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 134424953929728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258494851270656).

134424953929728 is an abundant number, since it is smaller than the sum of its proper divisors (382564748611584).

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

134424953929728 is a wasteful number, since it uses less digits than its factorization.

134424953929728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12089 (or 12060 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 72.

The spelling of 134424953929728 in words is "one hundred thirty-four trillion, four hundred twenty-four billion, nine hundred fifty-three million, nine hundred twenty-nine thousand, seven hundred twenty-eight".