127118972837025 has 135 divisors (see below), whose sum is σ = 254987758416699. Its totient is φ = 62578401050880.

The previous prime is 127118972836997. The next prime is 127118972837027. The reversal of 127118972837025 is 520738279811721.

The square root of 127118972837025 is 11274705.

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

127118972837025 is a `hidden beast` number, since 1 + 27 + 118 + 97 + 28 + 370 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 107064196035489 + 20054776801536 = 10347183^2 + 4478256^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 127118972837025 - 2¹¹ = 127118972834977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (127118972837027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 6595692789 + ... + 6595712061.

Almost surely, 2^{127118972837025} is an apocalyptic number.

127118972837025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

127118972837025 is the 11274705-th square number.

127118972837025 is the 5637353-rd centered octagonal number.

It is an amenable number.

127118972837025 is an abundant number, since it is smaller than the sum of its proper divisors (127868785579674).

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

127118972837025 is an frugal number, since it uses more digits than its factorization.

127118972837025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38594 (or 19294 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 63.

The spelling of 127118972837025 in words is "one hundred twenty-seven trillion, one hundred eighteen billion, nine hundred seventy-two million, eight hundred thirty-seven thousand, twenty-five".