126431136 has 72 divisors (see below), whose sum is σ = 387206820. Its totient is φ = 38900736.

The previous prime is 126431087. The next prime is 126431143. The reversal of 126431136 is 631134621.

126431136 is a `hidden beast` number, since 1 + 2 + 643 + 1 + 13 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 126427536 + 3600 = 11244^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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, 13141 + ... + 20628.

Almost surely, 2^126431136 is an apocalyptic number.

126431136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

126431136 is an abundant number, since it is smaller than the sum of its proper divisors (260775684).

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

126431136 is a wasteful number, since it uses less digits than its factorization.

126431136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33798 (or 33787 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 126431136 is about 11244.1600842393. The cubic root of 126431136 is about 501.9009449906.

Adding to 126431136 its reverse (631134621), we get a palindrome (757565757).

It can be divided in two parts, 1264 and 31136, that added together give a square (32400 = 180²).

The spelling of 126431136 in words is "one hundred twenty-six million, four hundred thirty-one thousand, one hundred thirty-six".