126831744 has 160 divisors (see below), whose sum is σ = 406915740. Its totient is φ = 38983680.

The previous prime is 126831739. The next prime is 126831763. The reversal of 126831744 is 447138621.

It can be written as a sum of positive squares in 2 ways, for example, as 124545600 + 2286144 = 11160^2 + 1512^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 126831699 and 126831708.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 134314 + ... + 135254.

Almost surely, 2^126831744 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 126831744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203457870).

126831744 is an abundant number, since it is smaller than the sum of its proper divisors (280083996).

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

126831744 is an equidigital number, since it uses as much as digits as its factorization.

126831744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 959 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 126831744 is about 11261.9600425503. The cubic root of 126831744 is about 502.4304916109.

The spelling of 126831744 in words is "one hundred twenty-six million, eight hundred thirty-one thousand, seven hundred forty-four".