134966159258112 has 960 divisors, whose sum is σ = 484042609290240. Its totient is φ = 35252869496832.

The previous prime is 134966159258107. The next prime is 134966159258129. The reversal of 134966159258112 is 211852951669431.

134966159258112 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 6 + 615 + 9 + 2 + 5 + 8 + 1 + 1 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 134966159258112.

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 95 ways as a sum of consecutive naturals, for example, 25820957643 + ... + 25820962869.

It is an arithmetic number, because the mean of its divisors is an integer number (504211051344).

Almost surely, 2^{134966159258112} is an apocalyptic number.

134966159258112 is a gapful number since it is divisible by the number (12) 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 134966159258112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242021304645120).

134966159258112 is an abundant number, since it is smaller than the sum of its proper divisors (349076450032128).

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

134966159258112 is a wasteful number, since it uses less digits than its factorization.

134966159258112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5853 (or 5834 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 63.

The spelling of 134966159258112 in words is "one hundred thirty-four trillion, nine hundred sixty-six billion, one hundred fifty-nine million, two hundred fifty-eight thousand, one hundred twelve".