126116625 has 64 divisors (see below), whose sum is σ = 226077696. Its totient is φ = 62208000.

The previous prime is 126116611. The next prime is 126116629. The reversal of 126116625 is 526611621.

It is not a de Polignac number, because 126116625 - 2⁵ = 126116593 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 126116592 and 126116601.

It is not an unprimeable number, because it can be changed into a prime (126116629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 465240 + ... + 465510.

It is an arithmetic number, because the mean of its divisors is an integer number (3532464).

Almost surely, 2^126116625 is an apocalyptic number.

126116625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126116625 is a deficient number, since it is larger than the sum of its proper divisors (99961071).

126116625 is a wasteful number, since it uses less digits than its factorization.

126116625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 369 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 126116625 is about 11230.1658491760. The cubic root of 126116625 is about 501.4844219550.

The spelling of 126116625 in words is "one hundred twenty-six million, one hundred sixteen thousand, six hundred twenty-five".