126113540 has 96 divisors (see below), whose sum is σ = 314302464. Its totient is φ = 41610240.

The previous prime is 126113527. The next prime is 126113543. The reversal of 126113540 is 45311621.

It is not an unprimeable number, because it can be changed into a prime (126113543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 728894 + ... + 729066.

It is an arithmetic number, because the mean of its divisors is an integer number (3273984).

Almost surely, 2^126113540 is an apocalyptic number.

126113540 is a gapful number since it is divisible by the number (10) 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 126113540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157151232).

126113540 is an abundant number, since it is smaller than the sum of its proper divisors (188188924).

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

126113540 is a wasteful number, since it uses less digits than its factorization.

126113540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 126113540 is about 11230.0284950663. The cubic root of 126113540 is about 501.4803329037.

The spelling of 126113540 in words is "one hundred twenty-six million, one hundred thirteen thousand, five hundred forty".