134338882272 has 384 divisors, whose sum is σ = 434643148800. Its totient is φ = 35479296000.

The previous prime is 134338882267. The next prime is 134338882273. The reversal of 134338882272 is 272288833431.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134338882273) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 113749522 + ... + 113750702.

It is an arithmetic number, because the mean of its divisors is an integer number (1131883200).

Almost surely, 2^134338882272 is an apocalyptic number.

134338882272 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 134338882272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217321574400).

134338882272 is an abundant number, since it is smaller than the sum of its proper divisors (300304266528).

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

134338882272 is a wasteful number, since it uses less digits than its factorization.

134338882272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1422 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 51.

The spelling of 134338882272 in words is "one hundred thirty-four billion, three hundred thirty-eight million, eight hundred eighty-two thousand, two hundred seventy-two".