126509436 has 36 divisors (see below), whose sum is σ = 327591264. Its totient is φ = 41140800.

The previous prime is 126509389. The next prime is 126509443. The reversal of 126509436 is 634905621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 126509436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41380 + ... + 44331.

Almost surely, 2^126509436 is an apocalyptic number.

It is an amenable number.

126509436 is an abundant number, since it is smaller than the sum of its proper divisors (201081828).

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

126509436 is a wasteful number, since it uses less digits than its factorization.

126509436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85762 (or 85757 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 126509436 is about 11247.6413527459. The cubic root of 126509436 is about 502.0045342786.

The spelling of 126509436 in words is "one hundred twenty-six million, five hundred nine thousand, four hundred thirty-six".