134071123968 has 272 divisors, whose sum is σ = 420706452960. Its totient is φ = 42052091904.

The previous prime is 134071123961. The next prime is 134071123973. The reversal of 134071123968 is 869321170431.

134071123968 is a `hidden beast` number, since 1 + 3 + 407 + 1 + 1 + 239 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (272).

It is not an unprimeable number, because it can be changed into a prime (134071123961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30078796 + ... + 30083252.

Almost surely, 2^134071123968 is an apocalyptic number.

134071123968 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 134071123968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210353226480).

134071123968 is an abundant number, since it is smaller than the sum of its proper divisors (286635328992).

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

134071123968 is an frugal number, since it uses more digits than its factorization.

134071123968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4515 (or 4479 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 134071123968 in words is "one hundred thirty-four billion, seventy-one million, one hundred twenty-three thousand, nine hundred sixty-eight".