126113624 has 64 divisors (see below), whose sum is σ = 293932800. Its totient is φ = 49394304.

The previous prime is 126113609. The next prime is 126113627. The reversal of 126113624 is 426311621.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 126113593 and 126113602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126113627) 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 15 ways as a sum of consecutive naturals, for example, 77087 + ... + 78705.

It is an arithmetic number, because the mean of its divisors is an integer number (4592700).

Almost surely, 2^126113624 is an apocalyptic number.

126113624 is a gapful number since it is divisible by the number (14) 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 126113624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146966400).

126113624 is an abundant number, since it is smaller than the sum of its proper divisors (167819176).

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

126113624 is a wasteful number, since it uses less digits than its factorization.

126113624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1748 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 126113624 is about 11230.0322350383. The cubic root of 126113624 is about 501.4804442434.

The spelling of 126113624 in words is "one hundred twenty-six million, one hundred thirteen thousand, six hundred twenty-four".