126461547 has 32 divisors (see below), whose sum is σ = 194779200. Its totient is φ = 80994816.

The previous prime is 126461501. The next prime is 126461557. The reversal of 126461547 is 745164621.

126461547 is a `hidden beast` number, since 1 + 2 + 646 + 1 + 5 + 4 + 7 = 666.

It is not a de Polignac number, because 126461547 - 2²⁰ = 125412971 is a prime.

It is not an unprimeable number, because it can be changed into a prime (126461557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291843 + ... + 292275.

It is an arithmetic number, because the mean of its divisors is an integer number (6086850).

Almost surely, 2^126461547 is an apocalyptic number.

126461547 is a deficient number, since it is larger than the sum of its proper divisors (68317653).

126461547 is a wasteful number, since it uses less digits than its factorization.

126461547 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 838 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 126461547 is about 11245.5123049152. The cubic root of 126461547 is about 501.9411831959.

The spelling of 126461547 in words is "one hundred twenty-six million, four hundred sixty-one thousand, five hundred forty-seven".