134675347534704 has 480 divisors, whose sum is σ = 390485279009280. Its totient is φ = 43314982502400.

The previous prime is 134675347534661. The next prime is 134675347534751. The reversal of 134675347534704 is 407435743576431.

134675347534704 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 7 + 53 + 47 + 534 + 7 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31755562024 + ... + 31755566264.

It is an arithmetic number, because the mean of its divisors is an integer number (813510997936).

Almost surely, 2^{134675347534704} 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 134675347534704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195242639504640).

134675347534704 is an abundant number, since it is smaller than the sum of its proper divisors (255809931474576).

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

134675347534704 is a wasteful number, since it uses less digits than its factorization.

134675347534704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4781 (or 4772 counting only the distinct ones).

The product of its (nonzero) digits is 355622400, while the sum is 63.

The spelling of 134675347534704 in words is "one hundred thirty-four trillion, six hundred seventy-five billion, three hundred forty-seven million, five hundred thirty-four thousand, seven hundred four".