13705146000 has 640 divisors, whose sum is σ = 60446131200. Its totient is φ = 2890598400.

The previous prime is 13705145957. The next prime is 13705146031. The reversal of 13705146000 is 64150731.

13705146000 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 51 + 4 + 600 + 0 = 666.

13705146000 is digitally balanced in base 2, 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 (27).

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 127 ways as a sum of consecutive naturals, for example, 4912606 + ... + 4915394.

It is an arithmetic number, because the mean of its divisors is an integer number (94447080).

Almost surely, 2^13705146000 is an apocalyptic number.

13705146000 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 13705146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30223065600).

13705146000 is an abundant number, since it is smaller than the sum of its proper divisors (46740985200).

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

13705146000 is a wasteful number, since it uses less digits than its factorization.

13705146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 13705146000 its reverse (64150731), we get a palindrome (13769296731).

The spelling of 13705146000 in words is "thirteen billion, seven hundred five million, one hundred forty-six thousand".