134819967744 has 1728 divisors, whose sum is σ = 558343618560. Its totient is φ = 30218158080.

The previous prime is 134819967739. The next prime is 134819967761. The reversal of 134819967744 is 447769918431.

134819967744 is a `hidden beast` number, since 1 + 3 + 481 + 99 + 67 + 7 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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 191 ways as a sum of consecutive naturals, for example, 2868509929 + ... + 2868509975.

It is an arithmetic number, because the mean of its divisors is an integer number (323115520).

Almost surely, 2^134819967744 is an apocalyptic number.

134819967744 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 134819967744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279171809280).

134819967744 is an abundant number, since it is smaller than the sum of its proper divisors (423523650816).

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

134819967744 is a wasteful number, since it uses less digits than its factorization.

134819967744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 149 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 134819967744 in words is "one hundred thirty-four billion, eight hundred nineteen million, nine hundred sixty-seven thousand, seven hundred forty-four".