134768593593312 has 576 divisors, whose sum is σ = 435340081612800. Its totient is φ = 36475682740224.

The previous prime is 134768593593191. The next prime is 134768593593313. The reversal of 134768593593312 is 213395395867431.

It is a super-2 number, since 2×134768593593312² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134768593593313) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1467653833 + ... + 1467745655.

It is an arithmetic number, because the mean of its divisors is an integer number (755798752800).

Almost surely, 2^{134768593593312} is an apocalyptic number.

134768593593312 is a gapful number since it is divisible by the number (12) 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 134768593593312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217670040806400).

134768593593312 is an abundant number, since it is smaller than the sum of its proper divisors (300571488019488).

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

134768593593312 is an equidigital number, since it uses as much as digits as its factorization.

134768593593312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91968 (or 91917 counting only the distinct ones).

The product of its digits is 440899200, while the sum is 69.

The spelling of 134768593593312 in words is "one hundred thirty-four trillion, seven hundred sixty-eight billion, five hundred ninety-three million, five hundred ninety-three thousand, three hundred twelve".