134188467343216 has 160 divisors (see below), whose sum is σ = 308136090528000. Its totient is φ = 56140541233920.

The previous prime is 134188467343213. The next prime is 134188467343223. The reversal of 134188467343216 is 612343764881431.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134188467343213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133675135 + ... + 134675233.

It is an arithmetic number, because the mean of its divisors is an integer number (1925850565800).

Almost surely, 2^{134188467343216} is an apocalyptic number.

134188467343216 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 134188467343216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154068045264000).

134188467343216 is an abundant number, since it is smaller than the sum of its proper divisors (173947623184784).

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

134188467343216 is a wasteful number, since it uses less digits than its factorization.

134188467343216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000504 (or 1000472 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 61.

The spelling of 134188467343216 in words is "one hundred thirty-four trillion, one hundred eighty-eight billion, four hundred sixty-seven million, three hundred forty-three thousand, two hundred sixteen".