126267552 has 96 divisors (see below), whose sum is σ = 374673600. Its totient is φ = 41359104.

The previous prime is 126267527. The next prime is 126267553. The reversal of 126267552 is 255762621.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (126267553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49738 + ... + 52214.

It is an arithmetic number, because the mean of its divisors is an integer number (3902850).

Almost surely, 2^126267552 is an apocalyptic number.

126267552 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 126267552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187336800).

126267552 is an abundant number, since it is smaller than the sum of its proper divisors (248406048).

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

126267552 is a wasteful number, since it uses less digits than its factorization.

126267552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555 (or 2541 counting only the distinct ones).

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

The square root of 126267552 is about 11236.8835537261. The cubic root of 126267552 is about 501.6843886314.

The spelling of 126267552 in words is "one hundred twenty-six million, two hundred sixty-seven thousand, five hundred fifty-two".