134334000000 has 672 divisors, whose sum is σ = 512782498800. Its totient is φ = 33638400000.

The previous prime is 134333999959. The next prime is 134334000019. The reversal of 134334000000 is 433431.

134334000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 305999781 + ... + 306000219.

Almost surely, 2^134334000000 is an apocalyptic number.

134334000000 is a gapful number since it is divisible by the number (10) 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 134334000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256391249400).

134334000000 is an abundant number, since it is smaller than the sum of its proper divisors (378448498800).

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

134334000000 is an frugal number, since it uses more digits than its factorization.

134334000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 134334000000 its reverse (433431), we get a palindrome (134334433431).

The spelling of 134334000000 in words is "one hundred thirty-four billion, three hundred thirty-four million", and thus it is an aban number.