126018288 has 160 divisors (see below), whose sum is σ = 412116480. Its totient is φ = 36495360.

The previous prime is 126018271. The next prime is 126018289. The reversal of 126018288 is 882810621.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126018289) 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 31 ways as a sum of consecutive naturals, for example, 108720 + ... + 109872.

It is an arithmetic number, because the mean of its divisors is an integer number (2575728).

Almost surely, 2^126018288 is an apocalyptic number.

126018288 is a gapful number since it is divisible by the number (18) 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 126018288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206058240).

126018288 is an abundant number, since it is smaller than the sum of its proper divisors (286098192).

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

126018288 is a wasteful number, since it uses less digits than its factorization.

126018288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 126018288 is about 11225.7867430305. The cubic root of 126018288 is about 501.3540471359.

The spelling of 126018288 in words is "one hundred twenty-six million, eighteen thousand, two hundred eighty-eight".