134765046718848 has 2048 divisors, whose sum is σ = 544245391872000. Its totient is φ = 31813676826624.

The previous prime is 134765046718837. The next prime is 134765046718867. The reversal of 134765046718848 is 848817640567431.

It is a happy number.

134765046718848 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 6 + 504 + 6 + 71 + 8 + 8 + 48 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10388110890 + ... + 10388123862.

It is an arithmetic number, because the mean of its divisors is an integer number (265744820250).

Almost surely, 2^{134765046718848} is an apocalyptic number.

134765046718848 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 134765046718848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272122695936000).

134765046718848 is an abundant number, since it is smaller than the sum of its proper divisors (409480345153152).

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

134765046718848 is a wasteful number, since it uses less digits than its factorization.

134765046718848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13129 (or 13111 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 72.

The spelling of 134765046718848 in words is "one hundred thirty-four trillion, seven hundred sixty-five billion, forty-six million, seven hundred eighteen thousand, eight hundred forty-eight".