159138225 has 45 divisors (see below), whose sum is σ = 295214023. Its totient is φ = 81947040.

The previous prime is 159138197. The next prime is 159138229. The reversal of 159138225 is 522831951.

The square root of 159138225 is 12615.

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

It can be written as a sum of positive squares in 7 ways, for example, as 94303521 + 64834704 = 9711^2 + 8052^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 159138225 - 2¹⁹ = 158613937 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 159138225.

It is not an unprimeable number, because it can be changed into a prime (159138229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5487511 + ... + 5487539.

Almost surely, 2^159138225 is an apocalyptic number.

159138225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

159138225 is the 12615-th square number.

159138225 is the 6308-th centered octagonal number.

It is an amenable number.

159138225 is a deficient number, since it is larger than the sum of its proper divisors (136075798).

159138225 is an frugal number, since it uses more digits than its factorization.

159138225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 37 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The cubic root of 159138225 is about 541.9070943184.

Multiplying 159138225 by its sum of digits (36), we get a square (5728976100 = 75690²).

It can be divided in two parts, 159 and 138225, that added together give a square (138384 = 372²).

The spelling of 159138225 in words is "one hundred fifty-nine million, one hundred thirty-eight thousand, two hundred twenty-five".