126135361 has 9 divisors (see below), whose sum is σ = 138780579. Its totient is φ = 114556200.

The previous prime is 126135337. The next prime is 126135371. The reversal of 126135361 is 163531621.

The square root of 126135361 is 11231.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 73427761 + 52707600 = 8569^2 + 7260^2 .

It is not a de Polignac number, because 126135361 - 2⁵ = 126135329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126135301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 123031 + ... + 124051.

Almost surely, 2^126135361 is an apocalyptic number.

126135361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

126135361 is the 11231-st square number.

126135361 is the 5616-th centered octagonal number.

It is an amenable number.

126135361 is a deficient number, since it is larger than the sum of its proper divisors (12645218).

126135361 is an frugal number, since it uses more digits than its factorization.

126135361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 1032 counting only the distinct ones).

The product of its digits is 3240, while the sum is 28.

The cubic root of 126135361 is about 501.5092543853.

Adding to 126135361 its reverse (163531621), we get a palindrome (289666982).

The spelling of 126135361 in words is "one hundred twenty-six million, one hundred thirty-five thousand, three hundred sixty-one".