126344736 has 144 divisors (see below), whose sum is σ = 419328000. Its totient is φ = 36070272.

The previous prime is 126344711. The next prime is 126344741. The reversal of 126344736 is 637443621.

It is a happy number.

126344736 is a `hidden beast` number, since 12 + 634 + 4 + 7 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 126344736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98145 + ... + 99423.

It is an arithmetic number, because the mean of its divisors is an integer number (2912000).

Almost surely, 2^126344736 is an apocalyptic number.

126344736 is a gapful number since it is divisible by the number (16) 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 126344736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209664000).

126344736 is an abundant number, since it is smaller than the sum of its proper divisors (292983264).

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

126344736 is a wasteful number, since it uses less digits than its factorization.

126344736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1291 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 126344736 is about 11240.3174332400. The cubic root of 126344736 is about 501.7865899227.

The spelling of 126344736 in words is "one hundred twenty-six million, three hundred forty-four thousand, seven hundred thirty-six".