134288316736 has 112 divisors (see below), whose sum is σ = 320958870400. Its totient is φ = 54457878528.

The previous prime is 134288316727. The next prime is 134288316761. The reversal of 134288316736 is 637613882431.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7456030 + ... + 7474018.

It is an arithmetic number, because the mean of its divisors is an integer number (2865704200).

Almost surely, 2^134288316736 is an apocalyptic number.

134288316736 is a gapful number since it is divisible by the number (16) 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 134288316736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160479435200).

134288316736 is an abundant number, since it is smaller than the sum of its proper divisors (186670553664).

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

134288316736 is a wasteful number, since it uses less digits than its factorization.

134288316736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18904 (or 18894 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 52.

The spelling of 134288316736 in words is "one hundred thirty-four billion, two hundred eighty-eight million, three hundred sixteen thousand, seven hundred thirty-six".