126054432 has 144 divisors (see below), whose sum is σ = 423101952. Its totient is φ = 34836480.

The previous prime is 126054427. The next prime is 126054443. The reversal of 126054432 is 234450621.

126054432 is a `hidden beast` number, since 12 + 605 + 4 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 126054396 and 126054405.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61488 + ... + 63504.

It is an arithmetic number, because the mean of its divisors is an integer number (2938208).

Almost surely, 2^126054432 is an apocalyptic number.

126054432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126054432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211550976).

126054432 is an abundant number, since it is smaller than the sum of its proper divisors (297047520).

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

126054432 is a wasteful number, since it uses less digits than its factorization.

126054432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071 (or 2060 counting only the distinct ones).

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

The square root of 126054432 is about 11227.3964925088. The cubic root of 126054432 is about 501.4019745936.

The spelling of 126054432 in words is "one hundred twenty-six million, fifty-four thousand, four hundred thirty-two".