134331415721800 has 192 divisors, whose sum is σ = 342738768939840. Its totient is φ = 48557625984000.

The previous prime is 134331415721777. The next prime is 134331415721801. The reversal of 134331415721800 is 8127514133431.

It is not an unprimeable number, because it can be changed into a prime (134331415721801) 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 47 ways as a sum of consecutive naturals, for example, 970344187 + ... + 970482613.

It is an arithmetic number, because the mean of its divisors is an integer number (1785097754895).

Almost surely, 2^{134331415721800} is an apocalyptic number.

134331415721800 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 134331415721800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171369384469920).

134331415721800 is an abundant number, since it is smaller than the sum of its proper divisors (208407353218040).

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

134331415721800 is a wasteful number, since it uses less digits than its factorization.

134331415721800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141072 (or 141063 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 134331415721800 in words is "one hundred thirty-four trillion, three hundred thirty-one billion, four hundred fifteen million, seven hundred twenty-one thousand, eight hundred".