147258225 has 27 divisors (see below), whose sum is σ = 264082273. Its totient is φ = 78440640.

The previous prime is 147258211. The next prime is 147258239. The reversal of 147258225 is 522852741.

It is a happy number.

The square root of 147258225 is 12135.

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

147258225 is a `hidden beast` number, since 1 + 4 + 72 + 582 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (147258211) and next prime (147258239).

It can be written as a sum of positive squares in 4 ways, for example, as 12047841 + 135210384 = 3471^2 + 11628^2 .

It is not a de Polignac number, because 147258225 - 2⁵ = 147258193 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 147258225.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 181621 + ... + 182429.

Almost surely, 2^147258225 is an apocalyptic number.

147258225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

147258225 is the 12135-th square number.

147258225 is the 6068-th centered octagonal number.

It is an amenable number.

147258225 is a deficient number, since it is larger than the sum of its proper divisors (116824048).

147258225 is an frugal number, since it uses more digits than its factorization.

147258225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 817 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The cubic root of 147258225 is about 528.0720567120.

Multiplying 147258225 by its sum of digits (36), we get a square (5301296100 = 72810²).

The spelling of 147258225 in words is "one hundred forty-seven million, two hundred fifty-eight thousand, two hundred twenty-five".