126564050 has 54 divisors (see below), whose sum is σ = 247700943. Its totient is φ = 48111840.

The previous prime is 126564047. The next prime is 126564071. The reversal of 126564050 is 50465621.

It can be written as a sum of positive squares in 5 ways, for example, as 100380361 + 26183689 = 10019^2 + 5117^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7955.

It is a Duffinian number.

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2943329 + ... + 2943371.

Almost surely, 2^126564050 is an apocalyptic number.

126564050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126564050 is a deficient number, since it is larger than the sum of its proper divisors (121136893).

126564050 is an equidigital number, since it uses as much as digits as its factorization.

126564050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 126564050 is about 11250.0688886780. The cubic root of 126564050 is about 502.0767621751.

Multiplying 126564050 by its product of nonzero digits (7200), we get a square (911261160000 = 954600²).

The spelling of 126564050 in words is "one hundred twenty-six million, five hundred sixty-four thousand, fifty".