126540432 has 60 divisors (see below), whose sum is σ = 362791884. Its totient is φ = 41149440.

The previous prime is 126540431. The next prime is 126540493. The reversal of 126540432 is 234045621.

126540432 is a `hidden beast` number, since 1 + 2 + 654 + 0 + 4 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7817616 + 118722816 = 2796^2 + 10896^2 .

It is a junction number, because it is equal to n+sod(n) for n = 126540396 and 126540405.

It is not an unprimeable number, because it can be changed into a prime (126540431) 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, 4813 + ... + 16620.

Almost surely, 2^126540432 is an apocalyptic number.

126540432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

126540432 is an abundant number, since it is smaller than the sum of its proper divisors (236251452).

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

126540432 is a wasteful number, since it uses less digits than its factorization.

126540432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21488 (or 21479 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 126540432 is about 11249.0191572421. The cubic root of 126540432 is about 502.0455295393.

The spelling of 126540432 in words is "one hundred twenty-six million, five hundred forty thousand, four hundred thirty-two".