134017607808 has 640 divisors, whose sum is σ = 471326169600. Its totient is φ = 37009612800.

The previous prime is 134017607803. The next prime is 134017607869. The reversal of 134017607808 is 808706710431.

134017607808 is a `hidden beast` number, since 1 + 34 + 0 + 1 + 7 + 607 + 8 + 0 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (134017607803) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 344518078 + ... + 344518466.

It is an arithmetic number, because the mean of its divisors is an integer number (736447140).

Almost surely, 2^134017607808 is an apocalyptic number.

134017607808 is a gapful number since it is divisible by the number (18) 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 134017607808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235663084800).

134017607808 is an abundant number, since it is smaller than the sum of its proper divisors (337308561792).

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

134017607808 is a wasteful number, since it uses less digits than its factorization.

134017607808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 134017607808 in words is "one hundred thirty-four billion, seventeen million, six hundred seven thousand, eight hundred eight".