159820850176 has 165 divisors, whose sum is σ = 357483607305. Its totient is φ = 71384002560.

The previous prime is 159820850173. The next prime is 159820850257. The reversal of 159820850176 is 671058028951.

The square root of 159820850176 is 399776.

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., 23642137600 + 136178712576 = 153760^2 + 369024^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (159820850173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5155511281 + ... + 5155511311.

It is an arithmetic number, because the mean of its divisors is an integer number (2166567317).

Almost surely, 2^159820850176 is an apocalyptic number.

159820850176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

159820850176 is the 399776-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159820850176

159820850176 is an abundant number, since it is smaller than the sum of its proper divisors (197662757129).

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

159820850176 is an frugal number, since it uses more digits than its factorization.

159820850176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 52.

The spelling of 159820850176 in words is "one hundred fifty-nine billion, eight hundred twenty million, eight hundred fifty thousand, one hundred seventy-six".