126016164 has 36 divisors (see below), whose sum is σ = 319716124. Its totient is φ = 41850432.

The previous prime is 126016133. The next prime is 126016169. The reversal of 126016164 is 461610621.

It can be written as a sum of positive squares in 2 ways, for example, as 16646400 + 109369764 = 4080^2 + 10458^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (126016169) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3654 + ... + 16290.

Almost surely, 2^126016164 is an apocalyptic number.

It is an amenable number.

126016164 is an abundant number, since it is smaller than the sum of its proper divisors (193699960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

126016164 is a wasteful number, since it uses less digits than its factorization.

126016164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12924 (or 12919 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 126016164 is about 11225.6921390175. The cubic root of 126016164 is about 501.3512303967.

Adding to 126016164 its reverse (461610621), we get a palindrome (587626785).

It can be divided in two parts, 1260 and 16164, that added together give a square (17424 = 132²).

The spelling of 126016164 in words is "one hundred twenty-six million, sixteen thousand, one hundred sixty-four".