160137258921648 has 120 divisors (see below), whose sum is σ = 452520577454400. Its totient is φ = 52860315560832.

The previous prime is 160137258921611. The next prime is 160137258921691. The reversal of 160137258921648 is 846129852731061.

It is a happy number.

160137258921648 is a `hidden beast` number, since 1 + 6 + 0 + 1 + 3 + 7 + 2 + 589 + 2 + 1 + 6 + 48 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39015543 + ... + 42924201.

It is an arithmetic number, because the mean of its divisors is an integer number (3771004812120).

It is a 2-persistent number, because it is pandigital, and so is 2⋅160137258921648 = 320274517843296, but 3⋅160137258921648 = 480411776764944 is not.

Almost surely, 2^{160137258921648} is an apocalyptic number.

160137258921648 is a gapful number since it is divisible by the number (18) 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 160137258921648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226260288727200).

160137258921648 is an abundant number, since it is smaller than the sum of its proper divisors (292383318532752).

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

160137258921648 is a wasteful number, since it uses less digits than its factorization.

160137258921648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3911439 (or 3911430 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 160137258921648 in words is "one hundred sixty trillion, one hundred thirty-seven billion, two hundred fifty-eight million, nine hundred twenty-one thousand, six hundred forty-eight".