126526127 has 16 divisors (see below), whose sum is σ = 157248000. Its totient is φ = 99129312.

The previous prime is 126526091. The next prime is 126526133. The reversal of 126526127 is 721625621.

It is a cyclic number.

It is not a de Polignac number, because 126526127 - 2⁶ = 126526063 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 126526093 and 126526102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126526157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2624 + ... + 16122.

It is an arithmetic number, because the mean of its divisors is an integer number (9828000).

Almost surely, 2^126526127 is an apocalyptic number.

126526127 is a deficient number, since it is larger than the sum of its proper divisors (30721873).

126526127 is a wasteful number, since it uses less digits than its factorization.

126526127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13622.

The product of its digits is 10080, while the sum is 32.

The square root of 126526127 is about 11248.3833060578. The cubic root of 126526127 is about 502.0266106008.

The spelling of 126526127 in words is "one hundred twenty-six million, five hundred twenty-six thousand, one hundred twenty-seven".