126723636 has 144 divisors (see below), whose sum is σ = 365238720. Its totient is φ = 37964160.

The previous prime is 126723601. The next prime is 126723643. The reversal of 126723636 is 636327621.

126723636 is a `hidden beast` number, since 12 + 6 + 7 + 2 + 3 + 636 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 126723636.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 967291 + ... + 967421.

It is an arithmetic number, because the mean of its divisors is an integer number (2536380).

Almost surely, 2^126723636 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 126723636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182619360).

126723636 is an abundant number, since it is smaller than the sum of its proper divisors (238515084).

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

126723636 is a wasteful number, since it uses less digits than its factorization.

126723636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 202 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 126723636 is about 11257.1593219604. The cubic root of 126723636 is about 502.2876982431.

The spelling of 126723636 in words is "one hundred twenty-six million, seven hundred twenty-three thousand, six hundred thirty-six".