126564141 has 16 divisors (see below), whose sum is σ = 186166080. Its totient is φ = 75841920.

The previous prime is 126564131. The next prime is 126564169. The reversal of 126564141 is 141465621.

It is not a de Polignac number, because 126564141 - 2¹⁰ = 126563117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 126564099 and 126564108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126564131) 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, 18610 + ... + 24483.

It is an arithmetic number, because the mean of its divisors is an integer number (11635380).

Almost surely, 2^126564141 is an apocalyptic number.

126564141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

126564141 is a deficient number, since it is larger than the sum of its proper divisors (59601939).

126564141 is a wasteful number, since it uses less digits than its factorization.

126564141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43196.

The product of its digits is 5760, while the sum is 30.

The square root of 126564141 is about 11250.0729330969. The cubic root of 126564141 is about 502.0768825068.

The spelling of 126564141 in words is "one hundred twenty-six million, five hundred sixty-four thousand, one hundred forty-one".