149625844225 has 81 divisors (see below), whose sum is σ = 221239392507. Its totient is φ = 100262448000.

The previous prime is 149625844219. The next prime is 149625844231. The reversal of 149625844225 is 522448526941.

The square root of 149625844225 is 386815.

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

It is an interprime number because it is at equal distance from previous prime (149625844219) and next prime (149625844231).

It can be written as a sum of positive squares in 13 ways, for example, as 146308545009 + 3317299216 = 382503^2 + 57596^2 .

It is not a de Polignac number, because 149625844225 - 2³ = 149625844217 is a prime.

It is a Duffinian 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, 276572455 + ... + 276572995.

Almost surely, 2^149625844225 is an apocalyptic number.

149625844225 is the 386815-th square number.

149625844225 is the 193408-th centered octagonal number.

It is an amenable number.

149625844225 is a deficient number, since it is larger than the sum of its proper divisors (71613548282).

149625844225 is an equidigital number, since it uses as much as digits as its factorization.

149625844225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 570 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 52.

The spelling of 149625844225 in words is "one hundred forty-nine billion, six hundred twenty-five million, eight hundred forty-four thousand, two hundred twenty-five".