134543330144000 has 288 divisors, whose sum is σ = 346308496934400. Its totient is φ = 52031238144000.

The previous prime is 134543330143949. The next prime is 134543330144009. The reversal of 134543330144000 is 441033345431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134543330144009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1040543354 + ... + 1040672646.

It is an arithmetic number, because the mean of its divisors is an integer number (1202460058800).

Almost surely, 2^{134543330144000} is an apocalyptic number.

134543330144000 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 134543330144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173154248467200).

134543330144000 is an abundant number, since it is smaller than the sum of its proper divisors (211765166790400).

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

134543330144000 is a wasteful number, since it uses less digits than its factorization.

134543330144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130404 (or 130380 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 134543330144000 its reverse (441033345431), we get a palindrome (134984363489431).

The spelling of 134543330144000 in words is "one hundred thirty-four trillion, five hundred forty-three billion, three hundred thirty million, one hundred forty-four thousand".