126135144 has 40 divisors (see below), whose sum is σ = 353297010. Its totient is φ = 42044832.

The previous prime is 126135143. The next prime is 126135157. The reversal of 126135144 is 441531621.

It is a happy number.

126135144 is a `hidden beast` number, since 1 + 2 + 613 + 5 + 1 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78110244 + 48024900 = 8838^2 + 6930^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (126135143) 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 9 ways as a sum of consecutive naturals, for example, 96679 + ... + 97974.

Almost surely, 2^126135144 is an apocalyptic number.

It is an amenable number.

126135144 is an abundant number, since it is smaller than the sum of its proper divisors (227161866).

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

126135144 is a wasteful number, since it uses less digits than its factorization.

126135144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194671 (or 194658 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 126135144 is about 11230.9903392354. The cubic root of 126135144 is about 501.5089667906.

Adding to 126135144 its reverse (441531621), we get a palindrome (567666765).

The spelling of 126135144 in words is "one hundred twenty-six million, one hundred thirty-five thousand, one hundred forty-four".