159838116144100 has 27 divisors (see below), whose sum is σ = 346848986379721. Its totient is φ = 63935195886800.

The previous prime is 159838116144067. The next prime is 159838116144121. The reversal of 159838116144100 is 1441611838951.

The square root of 159838116144100 is 12642710.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 57541721811876 + 102296394332224 = 7585626^2 + 10114168^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 125794965 + ... + 127059235.

Almost surely, 2^{159838116144100} is an apocalyptic number.

159838116144100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

159838116144100 is the 12642710-th square number.

It is an amenable number.

159838116144100 is an abundant number, since it is smaller than the sum of its proper divisors (187010870235621).

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

159838116144100 is an frugal number, since it uses more digits than its factorization.

159838116144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528556 (or 1264278 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 52.

The spelling of 159838116144100 in words is "one hundred fifty-nine trillion, eight hundred thirty-eight billion, one hundred sixteen million, one hundred forty-four thousand, one hundred".