134513685504 has 440 divisors, whose sum is σ = 440486560800. Its totient is φ = 40549662720.

The previous prime is 134513685499. The next prime is 134513685539. The reversal of 134513685504 is 405586315431.

134513685504 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 136 + 8 + 5 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 134513685504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 345793342 + ... + 345793730.

It is an arithmetic number, because the mean of its divisors is an integer number (1001105820).

Almost surely, 2^134513685504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134513685504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220243280400).

134513685504 is an abundant number, since it is smaller than the sum of its proper divisors (305972875296).

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

134513685504 is a wasteful number, since it uses less digits than its factorization.

134513685504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 134513685504 in words is "one hundred thirty-four billion, five hundred thirteen million, six hundred eighty-five thousand, five hundred four".