134516109312 has 312 divisors, whose sum is σ = 432917284800. Its totient is φ = 39958216704.

The previous prime is 134516109289. The next prime is 134516109331. The reversal of 134516109312 is 213901615431.

134516109312 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 1 + 610 + 9 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

It is a super-2 number, since 2×134516109312² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13892889 + ... + 13902567.

It is an arithmetic number, because the mean of its divisors is an integer number (1387555400).

Almost surely, 2^134516109312 is an apocalyptic number.

134516109312 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 134516109312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216458642400).

134516109312 is an abundant number, since it is smaller than the sum of its proper divisors (298401175488).

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

134516109312 is a wasteful number, since it uses less digits than its factorization.

134516109312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9751 (or 9726 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 134516109312 in words is "one hundred thirty-four billion, five hundred sixteen million, one hundred nine thousand, three hundred twelve".