134014014072 has 192 divisors, whose sum is σ = 391678709760. Its totient is φ = 41273971200.

The previous prime is 134014014019. The next prime is 134014014089. The reversal of 134014014072 is 270410410431.

134014014072 is a `hidden beast` number, since 13 + 401 + 40 + 140 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31672197 + ... + 31676427.

It is an arithmetic number, because the mean of its divisors is an integer number (2039993280).

Almost surely, 2^134014014072 is an apocalyptic number.

134014014072 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 134014014072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195839354880).

134014014072 is an abundant number, since it is smaller than the sum of its proper divisors (257664695688).

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

134014014072 is a wasteful number, since it uses less digits than its factorization.

134014014072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4914 (or 4907 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 134014014072 in words is "one hundred thirty-four billion, fourteen million, fourteen thousand, seventy-two".