134619014016 has 384 divisors, whose sum is σ = 424714617600. Its totient is φ = 42443896320.

The previous prime is 134619014011. The next prime is 134619014017. The reversal of 134619014016 is 610410916431.

134619014016 is a `hidden beast` number, since 1 + 34 + 619 + 0 + 1 + 4 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134619014011) 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, 213342021 + ... + 213342651.

It is an arithmetic number, because the mean of its divisors is an integer number (1106027650).

Almost surely, 2^134619014016 is an apocalyptic number.

134619014016 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 134619014016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212357308800).

134619014016 is an abundant number, since it is smaller than the sum of its proper divisors (290095603584).

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

134619014016 is an frugal number, since it uses more digits than its factorization.

134619014016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 134619014016 in words is "one hundred thirty-four billion, six hundred nineteen million, fourteen thousand, sixteen".