126839040 has 288 divisors, whose sum is σ = 450334080. Its totient is φ = 30277632.

The previous prime is 126839039. The next prime is 126839077. The reversal of 126839040 is 40938621.

It is a junction number, because it is equal to n+sod(n) for n = 126838992 and 126839010.

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, 1893087 + ... + 1893153.

It is an arithmetic number, because the mean of its divisors is an integer number (1563660).

Almost surely, 2^126839040 is an apocalyptic number.

126839040 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 126839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225167040).

126839040 is an abundant number, since it is smaller than the sum of its proper divisors (323495040).

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

126839040 is a wasteful number, since it uses less digits than its factorization.

126839040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 126839040 is about 11262.2839601921. The cubic root of 126839040 is about 502.4401255360.

The spelling of 126839040 in words is "one hundred twenty-six million, eight hundred thirty-nine thousand, forty".