134056684872 has 192 divisors, whose sum is σ = 400364078400. Its totient is φ = 40184954880.

The previous prime is 134056684871. The next prime is 134056684873. The reversal of 134056684872 is 278486650431.

It is a happy number.

134056684872 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 566 + 8 + 4 + 8 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (134056684871) and next prime (134056684873).

It is not an unprimeable number, because it can be changed into a prime (134056684871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58976728 + ... + 58979000.

It is an arithmetic number, because the mean of its divisors is an integer number (2085229575).

Almost surely, 2^134056684872 is an apocalyptic number.

134056684872 is a gapful number since it is divisible by the number (12) 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 134056684872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200182039200).

134056684872 is an abundant number, since it is smaller than the sum of its proper divisors (266307393528).

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

134056684872 is a wasteful number, since it uses less digits than its factorization.

134056684872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3068 (or 3061 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 134056684872 in words is "one hundred thirty-four billion, fifty-six million, six hundred eighty-four thousand, eight hundred seventy-two".