126567252 has 192 divisors, whose sum is σ = 406425600. Its totient is φ = 33264000.

The previous prime is 126567251. The next prime is 126567257. The reversal of 126567252 is 252765621.

126567252 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (50400) is a multiple of the sum of its prime divisors (315).

126567252 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126567251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 504127 + ... + 504377.

It is an arithmetic number, because the mean of its divisors is an integer number (2116800).

Almost surely, 2^126567252 is an apocalyptic number.

126567252 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 126567252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203212800).

126567252 is an abundant number, since it is smaller than the sum of its proper divisors (279858348).

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

126567252 is a wasteful number, since it uses less digits than its factorization.

126567252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 315 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 126567252 is about 11250.2111980176. The cubic root of 126567252 is about 502.0809962269.

The spelling of 126567252 in words is "one hundred twenty-six million, five hundred sixty-seven thousand, two hundred fifty-two".