144677533225 has 27 divisors (see below), whose sum is σ = 181126243767. Its totient is φ = 114638968080.

The previous prime is 144677533223. The next prime is 144677533277. The reversal of 144677533225 is 522335776441.

The square root of 144677533225 is 380365.

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., 52083911961 + 92593621264 = 228219^2 + 304292^2 .

It is not a de Polignac number, because 144677533225 - 2¹ = 144677533223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144677533223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 241531476 + ... + 241532074.

Almost surely, 2^144677533225 is an apocalyptic number.

144677533225 is the 380365-th square number.

144677533225 is the 190183-rd centered octagonal number.

It is an amenable number.

144677533225 is a deficient number, since it is larger than the sum of its proper divisors (36448710542).

144677533225 is an frugal number, since it uses more digits than its factorization.

144677533225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 731 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 49.

Multiplying 144677533225 by its sum of digits (49), we get a square (7089199128025 = 2662555²).

The spelling of 144677533225 in words is "one hundred forty-four billion, six hundred seventy-seven million, five hundred thirty-three thousand, two hundred twenty-five".