149935456225 has 27 divisors (see below), whose sum is σ = 190449984249. Its totient is φ = 117093816000.

The previous prime is 149935456159. The next prime is 149935456243. The reversal of 149935456225 is 522654539941.

The square root of 149935456225 is 387215.

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

It can be written as a sum of positive squares in 4 ways, for example, as 42123047121 + 107812409104 = 205239^2 + 328348^2 .

It is not a de Polignac number, because 149935456225 - 2²¹ = 149933359073 is a prime.

It is a Duffinian number.

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, 83250325 + ... + 83252125.

Almost surely, 2^149935456225 is an apocalyptic number.

149935456225 is the 387215-th square number.

149935456225 is the 193608-th centered octagonal number.

It is an amenable number.

149935456225 is a deficient number, since it is larger than the sum of its proper divisors (40514528024).

149935456225 is an frugal number, since it uses more digits than its factorization.

149935456225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3698 (or 1849 counting only the distinct ones).

The product of its digits is 11664000, while the sum is 55.

The spelling of 149935456225 in words is "one hundred forty-nine billion, nine hundred thirty-five million, four hundred fifty-six thousand, two hundred twenty-five".