126563712 has 192 divisors, whose sum is σ = 391728960. Its totient is φ = 35896320.

The previous prime is 126563711. The next prime is 126563713. The reversal of 126563712 is 217365621.

It is an interprime number because it is at equal distance from previous prime (126563711) and next prime (126563713).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126563711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1524823 + ... + 1524905.

It is an arithmetic number, because the mean of its divisors is an integer number (2040255).

Almost surely, 2^126563712 is an apocalyptic number.

126563712 is a gapful number since it is divisible by the number (12) 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 126563712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195864480).

126563712 is an abundant number, since it is smaller than the sum of its proper divisors (265165248).

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

126563712 is a wasteful number, since it uses less digits than its factorization.

126563712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 118 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 126563712 is about 11250.0538665377. The cubic root of 126563712 is about 502.0763152286.

The spelling of 126563712 in words is "one hundred twenty-six million, five hundred sixty-three thousand, seven hundred twelve".