127974330225 has 81 divisors (see below), whose sum is σ = 266717590347. Its totient is φ = 58485379680.

The previous prime is 127974330223. The next prime is 127974330227. The reversal of 127974330225 is 522033479721.

The square root of 127974330225 is 357735.

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

127974330225 is a `hidden beast` number, since 1 + 2 + 7 + 97 + 4 + 330 + 225 = 666.

It is an interprime number because it is at equal distance from previous prime (127974330223) and next prime (127974330227).

It can be written as a sum of positive squares in only one way, i.e., 46070758881 + 81903571344 = 214641^2 + 286188^2 .

It is not a de Polignac number, because 127974330225 - 2¹ = 127974330223 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (127974330223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 37560472 + ... + 37563878.

Almost surely, 2^127974330225 is an apocalyptic number.

127974330225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

127974330225 is the 357735-th square number.

127974330225 is the 178868-th centered octagonal number.

It is an amenable number.

127974330225 is an abundant number, since it is smaller than the sum of its proper divisors (138743260122).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

127974330225 is an frugal number, since it uses more digits than its factorization.

127974330225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6844 (or 3422 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 127974330225 in words is "one hundred twenty-seven billion, nine hundred seventy-four million, three hundred thirty thousand, two hundred twenty-five".