144600625 has 45 divisors (see below), whose sum is σ = 201092661. Its totient is φ = 103896000.

The previous prime is 144600613. The next prime is 144600629. The reversal of 144600625 is 526006441.

The square root of 144600625 is 12025.

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

144600625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 22 ways, for example, as 137757169 + 6843456 = 11737^2 + 2616^2 .

It is not a de Polignac number, because 144600625 - 2⁵ = 144600593 is a prime.

It is a super-3 number, since 3×144600625³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144600593 and 144600602.

It is not an unprimeable number, because it can be changed into a prime (144600629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3908107 + ... + 3908143.

Almost surely, 2^144600625 is an apocalyptic number.

144600625 is the 12025-th square number.

144600625 is the 6013-rd centered octagonal number.

It is an amenable number.

144600625 is a deficient number, since it is larger than the sum of its proper divisors (56492036).

144600625 is an frugal number, since it uses more digits than its factorization.

144600625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The cubic root of 144600625 is about 524.8760100240.

It can be divided in two parts, 144 and 600625, that multiplied together give a square (86490000 = 9300²).

The spelling of 144600625 in words is "one hundred forty-four million, six hundred thousand, six hundred twenty-five".