134613727776 has 144 divisors (see below), whose sum is σ = 417746766528. Its totient is φ = 40778534400.

The previous prime is 134613727757. The next prime is 134613727777. The reversal of 134613727776 is 677727316431.

134613727776 is a `hidden beast` number, since 13 + 4 + 613 + 7 + 2 + 7 + 7 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (134613727777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13905850 + ... + 13915526.

It is an arithmetic number, because the mean of its divisors is an integer number (2901019212).

Almost surely, 2^134613727776 is an apocalyptic number.

134613727776 is a gapful number since it is divisible by the number (16) 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 134613727776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208873383264).

134613727776 is an abundant number, since it is smaller than the sum of its proper divisors (283133038752).

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

134613727776 is a wasteful number, since it uses less digits than its factorization.

134613727776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14095 (or 14084 counting only the distinct ones).

The product of its digits is 6223392, while the sum is 54.

The spelling of 134613727776 in words is "one hundred thirty-four billion, six hundred thirteen million, seven hundred twenty-seven thousand, seven hundred seventy-six".