134838695664 has 240 divisors, whose sum is σ = 421127649280. Its totient is φ = 40092433920.

The previous prime is 134838695659. The next prime is 134838695671. The reversal of 134838695664 is 466596838431.

134838695664 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 3 + 8 + 69 + 566 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3116709 + ... + 3159675.

Almost surely, 2^134838695664 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 134838695664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210563824640).

134838695664 is an abundant number, since it is smaller than the sum of its proper divisors (286288953616).

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

134838695664 is a wasteful number, since it uses less digits than its factorization.

134838695664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43068 (or 43059 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 134838695664 in words is "one hundred thirty-four billion, eight hundred thirty-eight million, six hundred ninety-five thousand, six hundred sixty-four".