134871690336768 has 480 divisors, whose sum is σ = 497133814649472. Its totient is φ = 34177174732800.

The previous prime is 134871690336743. The next prime is 134871690336769. The reversal of 134871690336768 is 867633096178431.

134871690336768 is a `hidden beast` number, since 1 + 3 + 48 + 7 + 169 + 0 + 3 + 367 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 134871690336696 and 134871690336705.

It is not an unprimeable number, because it can be changed into a prime (134871690336769) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9911880 + ... + 19183032.

Almost surely, 2^{134871690336768} is an apocalyptic number.

134871690336768 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 134871690336768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248566907324736).

134871690336768 is an abundant number, since it is smaller than the sum of its proper divisors (362262124312704).

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

134871690336768 is a wasteful number, since it uses less digits than its factorization.

134871690336768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9271236 (or 9271217 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 134871690336768 in words is "one hundred thirty-four trillion, eight hundred seventy-one billion, six hundred ninety million, three hundred thirty-six thousand, seven hundred sixty-eight".