134530111064016 has 480 divisors, whose sum is σ = 401253230352000. Its totient is φ = 41957802012672.

The previous prime is 134530111063867. The next prime is 134530111064017. The reversal of 134530111064016 is 610460111035431.

134530111064016 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 3 + 0 + 1 + 1 + 1 + 0 + 640 + 1 + 6 = 666.

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 (134530111064017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59290484130 + ... + 59290486398.

It is an arithmetic number, because the mean of its divisors is an integer number (835944229900).

Almost surely, 2^{134530111064016} is an apocalyptic number.

134530111064016 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 134530111064016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200626615176000).

134530111064016 is an abundant number, since it is smaller than the sum of its proper divisors (266723119287984).

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

134530111064016 is a wasteful number, since it uses less digits than its factorization.

134530111064016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3251 (or 3242 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 134530111064016 its reverse (610460111035431), we get a palindrome (744990222099447).

The spelling of 134530111064016 in words is "one hundred thirty-four trillion, five hundred thirty billion, one hundred eleven million, sixty-four thousand, sixteen".