134568081680640 has 288 divisors, whose sum is σ = 434790772738560. Its totient is φ = 35466517413888.

The previous prime is 134568081680639. The next prime is 134568081680723. The reversal of 134568081680640 is 46086180865431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 814331464 + ... + 814496696.

It is an arithmetic number, because the mean of its divisors is an integer number (1509690183120).

Almost surely, 2^{134568081680640} is an apocalyptic number.

134568081680640 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 134568081680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217395386369280).

134568081680640 is an abundant number, since it is smaller than the sum of its proper divisors (300222691057920).

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

134568081680640 is a wasteful number, since it uses less digits than its factorization.

134568081680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167729 (or 167715 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 60.

The spelling of 134568081680640 in words is "one hundred thirty-four trillion, five hundred sixty-eight billion, eighty-one million, six hundred eighty thousand, six hundred forty".