126371840 has 192 divisors, whose sum is σ = 363242880. Its totient is φ = 41287680.

The previous prime is 126371827. The next prime is 126371851. The reversal of 126371840 is 48173621.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 126371797 and 126371806.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2938859 + ... + 2938901.

It is an arithmetic number, because the mean of its divisors is an integer number (1891890).

Almost surely, 2^126371840 is an apocalyptic number.

126371840 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 126371840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181621440).

126371840 is an abundant number, since it is smaller than the sum of its proper divisors (236871040).

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

126371840 is an equidigital number, since it uses as much as digits as its factorization.

126371840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 126371840 is about 11241.5230284868. The cubic root of 126371840 is about 501.8224691416.

The spelling of 126371840 in words is "one hundred twenty-six million, three hundred seventy-one thousand, eight hundred forty".