134341254141200 has 120 divisors (see below), whose sum is σ = 323798538602880. Its totient is φ = 53562885465600.

The previous prime is 134341254141191. The next prime is 134341254141209. The reversal of 134341254141200 is 2141452143431.

It is an interprime number because it is at equal distance from previous prime (134341254141191) and next prime (134341254141209).

It is a super-3 number, since 3×134341254141200³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (134341254141209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290285990 + ... + 290748410.

It is an arithmetic number, because the mean of its divisors is an integer number (2698321155024).

Almost surely, 2^{134341254141200} is an apocalyptic number.

134341254141200 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 134341254141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161899269301440).

134341254141200 is an abundant number, since it is smaller than the sum of its proper divisors (189457284461680).

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

134341254141200 is a wasteful number, since it uses less digits than its factorization.

134341254141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464785 (or 464774 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 134341254141200 in words is "one hundred thirty-four trillion, three hundred forty-one billion, two hundred fifty-four million, one hundred forty-one thousand, two hundred".