126637056 has 264 divisors, whose sum is σ = 453025664. Its totient is φ = 33177600.

The previous prime is 126637009. The next prime is 126637061. The reversal of 126637056 is 650736621.

126637056 is a `hidden beast` number, since 12 + 6 + 637 + 0 + 5 + 6 = 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 126637056.

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, 838581 + ... + 838731.

Almost surely, 2^126637056 is an apocalyptic number.

126637056 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 126637056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226512832).

126637056 is an abundant number, since it is smaller than the sum of its proper divisors (326388608).

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

126637056 is a wasteful number, since it uses less digits than its factorization.

126637056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 126637056 is about 11253.3131121461. The cubic root of 126637056 is about 502.1732813434.

The spelling of 126637056 in words is "one hundred twenty-six million, six hundred thirty-seven thousand, fifty-six".