126538065 has 64 divisors (see below), whose sum is σ = 238049280. Its totient is φ = 63645120.

The previous prime is 126538051. The next prime is 126538079. The reversal of 126538065 is 560835621.

It is an interprime number because it is at equal distance from previous prime (126538051) and next prime (126538079).

It is not a de Polignac number, because 126538065 - 2⁵ = 126538033 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 257470 + ... + 257960.

It is an arithmetic number, because the mean of its divisors is an integer number (3719520).

Almost surely, 2^126538065 is an apocalyptic number.

126538065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126538065 is a deficient number, since it is larger than the sum of its proper divisors (111511215).

126538065 is a wasteful number, since it uses less digits than its factorization.

126538065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 126538065 is about 11248.9139475773. The cubic root of 126538065 is about 502.0423991849.

The spelling of 126538065 in words is "one hundred twenty-six million, five hundred thirty-eight thousand, sixty-five".