134277276012000 has 384 divisors, whose sum is σ = 479914983475200. Its totient is φ = 32549868288000.

The previous prime is 134277276011953. The next prime is 134277276012007. The reversal of 134277276012000 is 210672772431.

134277276012000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134277276012007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2849724441 + ... + 2849771559.

It is an arithmetic number, because the mean of its divisors is an integer number (1249778602800).

Almost surely, 2^{134277276012000} is an apocalyptic number.

134277276012000 is a gapful number since it is divisible by the number (10) 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 134277276012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239957491737600).

134277276012000 is an abundant number, since it is smaller than the sum of its proper divisors (345637707463200).

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

134277276012000 is a wasteful number, since it uses less digits than its factorization.

134277276012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68747 (or 68729 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The spelling of 134277276012000 in words is "one hundred thirty-four trillion, two hundred seventy-seven billion, two hundred seventy-six million, twelve thousand".