126140544 has 256 divisors, whose sum is σ = 418608000. Its totient is φ = 37158912.

The previous prime is 126140503. The next prime is 126140557. The reversal of 126140544 is 445041621.

126140544 is a `hidden beast` number, since 1 + 2 + 614 + 0 + 5 + 44 = 666.

It is a super-2 number, since 2×126140544² = 31822873681231872, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1116232 + ... + 1116344.

Almost surely, 2^126140544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126140544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209304000).

126140544 is an abundant number, since it is smaller than the sum of its proper divisors (292467456).

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

126140544 is a wasteful number, since it uses less digits than its factorization.

126140544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 126140544 is about 11231.2307428883. The cubic root of 126140544 is about 501.5161234262.

The spelling of 126140544 in words is "one hundred twenty-six million, one hundred forty thousand, five hundred forty-four".