134702568000 has 2688 divisors, whose sum is σ = 682990963200. Its totient is φ = 25546752000.

The previous prime is 134702567983. The next prime is 134702568019. The reversal of 134702568000 is 865207431.

134702568000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1513511956 + ... + 1513512044.

It is an arithmetic number, because the mean of its divisors is an integer number (254088900).

Almost surely, 2^134702568000 is an apocalyptic number.

134702568000 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 134702568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341495481600).

134702568000 is an abundant number, since it is smaller than the sum of its proper divisors (548288395200).

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

134702568000 is a wasteful number, since it uses less digits than its factorization.

134702568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 134702568000 in words is "one hundred thirty-four billion, seven hundred two million, five hundred sixty-eight thousand".