134312226965952 has 336 divisors, whose sum is σ = 414271638584352. Its totient is φ = 38292878131200.

The previous prime is 134312226965881. The next prime is 134312226965989. The reversal of 134312226965952 is 259569622213431.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11099260702 + ... + 11099272802.

Almost surely, 2^{134312226965952} is an apocalyptic number.

134312226965952 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 134312226965952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207135819292176).

134312226965952 is an abundant number, since it is smaller than the sum of its proper divisors (279959411618400).

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

134312226965952 is a wasteful number, since it uses less digits than its factorization.

134312226965952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14556 (or 14539 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 60.

The spelling of 134312226965952 in words is "one hundred thirty-four trillion, three hundred twelve billion, two hundred twenty-six million, nine hundred sixty-five thousand, nine hundred fifty-two".