148945824225 has 81 divisors (see below), whose sum is σ = 293361316339. Its totient is φ = 72185282400.

The previous prime is 148945824199. The next prime is 148945824259. The reversal of 148945824225 is 522428549841.

It is a happy number.

The square root of 148945824225 is 385935.

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

148945824225 is a `hidden beast` number, since 1 + 489 + 45 + 82 + 42 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53620496721 + 95325327504 = 231561^2 + 308748^2 .

It is not a de Polignac number, because 148945824225 - 2⁵ = 148945824193 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 63678106 + ... + 63680444.

Almost surely, 2^148945824225 is an apocalyptic number.

148945824225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

148945824225 is the 385935-th square number.

148945824225 is the 192968-th centered octagonal number.

It is an amenable number.

148945824225 is a deficient number, since it is larger than the sum of its proper divisors (144415492114).

148945824225 is an equidigital number, since it uses as much as digits as its factorization.

148945824225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4716 (or 2358 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The spelling of 148945824225 in words is "one hundred forty-eight billion, nine hundred forty-five million, eight hundred twenty-four thousand, two hundred twenty-five".