144761225625 has 225 divisors, whose sum is σ = 288435101691. Its totient is φ = 72320688000.

The previous prime is 144761225603. The next prime is 144761225647. The reversal of 144761225625 is 526522167441.

The square root of 144761225625 is 380475.

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

144761225625 is a `hidden beast` number, since 1 + 4 + 4 + 7 + 6 + 12 + 2 + 5 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (144761225603) and next prime (144761225647).

It can be written as a sum of positive squares in 7 ways, for example, as 140627250009 + 4133975616 = 375003^2 + 64296^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 144761225625 - 2¹¹ = 144761223577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 1626530581 + ... + 1626530669.

Almost surely, 2^144761225625 is an apocalyptic number.

144761225625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144761225625 is the 380475-th square number.

144761225625 is the 190238-th centered octagonal number.

It is an amenable number.

144761225625 is a deficient number, since it is larger than the sum of its proper divisors (143673876066).

144761225625 is an frugal number, since it uses more digits than its factorization.

144761225625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 116 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 144761225625 in words is "one hundred forty-four billion, seven hundred sixty-one million, two hundred twenty-five thousand, six hundred twenty-five".