134160243840000 has 3960 divisors, whose sum is σ = 610006735609920. Its totient is φ = 28978532352000.

The previous prime is 134160243839981. The next prime is 134160243840001. The reversal of 134160243840000 is 48342061431.

134160243840000 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 6 + 0 + 243 + 8 + 400 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134160243840001) 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 359 ways as a sum of consecutive naturals, for example, 1616388479959 + ... + 1616388480041.

It is an arithmetic number, because the mean of its divisors is an integer number (154042104952).

Almost surely, 2^{134160243840000} is an apocalyptic number.

134160243840000 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 134160243840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305003367804960).

134160243840000 is an abundant number, since it is smaller than the sum of its proper divisors (475846491769920).

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

134160243840000 is an frugal number, since it uses more digits than its factorization.

134160243840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 134160243840000 in words is "one hundred thirty-four trillion, one hundred sixty billion, two hundred forty-three million, eight hundred forty thousand".