134711774208 has 396 divisors, whose sum is σ = 431931656520. Its totient is φ = 40404418560.

The previous prime is 134711774207. The next prime is 134711774227. The reversal of 134711774208 is 802477117431.

134711774208 is a `hidden beast` number, since 1 + 3 + 471 + 177 + 4 + 2 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

It is a super-3 number, since 3×134711774208³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (134711774207) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 119318988 + ... + 119320116.

Almost surely, 2^134711774208 is an apocalyptic number.

134711774208 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 134711774208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215965828260).

134711774208 is an abundant number, since it is smaller than the sum of its proper divisors (297219882312).

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

134711774208 is a wasteful number, since it uses less digits than its factorization.

134711774208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 134711774208 in words is "one hundred thirty-four billion, seven hundred eleven million, seven hundred seventy-four thousand, two hundred eight".