114960125 has 36 divisors (see below), whose sum is σ = 168121044. Its totient is φ = 78254400.

The previous prime is 114960101. The next prime is 114960161. The reversal of 114960125 is 521069411.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 28153636 + 86806489 = 5306^2 + 9317^2 .

It is not a de Polignac number, because 114960125 - 2⁸ = 114959869 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 839057 + ... + 839193.

It is an arithmetic number, because the mean of its divisors is an integer number (4670029).

Almost surely, 2^114960125 is an apocalyptic number.

It is an amenable number.

114960125 is a deficient number, since it is larger than the sum of its proper divisors (53160919).

114960125 is an frugal number, since it uses more digits than its factorization.

114960125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 114960125 is about 10721.9459521115. The cubic root of 114960125 is about 486.2382008446.

The spelling of 114960125 in words is "one hundred fourteen million, nine hundred sixty thousand, one hundred twenty-five".