126290736 has 120 divisors (see below), whose sum is σ = 415296336. Its totient is φ = 35320320.

The previous prime is 126290711. The next prime is 126290741. The reversal of 126290736 is 637092621.

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 126290736.

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, 17526 + ... + 23658.

Almost surely, 2^126290736 is an apocalyptic number.

126290736 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 126290736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207648168).

126290736 is an abundant number, since it is smaller than the sum of its proper divisors (289005600).

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

126290736 is a wasteful number, since it uses less digits than its factorization.

126290736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6171 (or 6162 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 126290736 is about 11237.9151091295. The cubic root of 126290736 is about 501.7150915288.

The spelling of 126290736 in words is "one hundred twenty-six million, two hundred ninety thousand, seven hundred thirty-six".