134826696028152 has 256 divisors, whose sum is σ = 376709082048000. Its totient is φ = 44680398336000.

The previous prime is 134826696028111. The next prime is 134826696028169. The reversal of 134826696028152 is 251820696628431.

134826696028152 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 2 + 6 + 6 + 9 + 602 + 8 + 15 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 134826696028152.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38621223127 + ... + 38621226617.

It is an arithmetic number, because the mean of its divisors is an integer number (1471519851750).

Almost surely, 2^{134826696028152} is an apocalyptic number.

134826696028152 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 134826696028152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188354541024000).

134826696028152 is an abundant number, since it is smaller than the sum of its proper divisors (241882386019848).

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

134826696028152 is a wasteful number, since it uses less digits than its factorization.

134826696028152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5259 (or 5249 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 134826696028152 in words is "one hundred thirty-four trillion, eight hundred twenty-six billion, six hundred ninety-six million, twenty-eight thousand, one hundred fifty-two".