126123144 has 64 divisors (see below), whose sum is σ = 363968640. Its totient is φ = 35673600.

The previous prime is 126123139. The next prime is 126123161. The reversal of 126123144 is 441321621.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13252 + ... + 20684.

It is an arithmetic number, because the mean of its divisors is an integer number (5687010).

Almost surely, 2^126123144 is an apocalyptic number.

126123144 is a gapful number since it is divisible by the number (14) 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 126123144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181984320).

126123144 is an abundant number, since it is smaller than the sum of its proper divisors (237845496).

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

126123144 is a wasteful number, since it uses less digits than its factorization.

126123144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7550 (or 7546 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 126123144 is about 11230.4560904711. The cubic root of 126123144 is about 501.4930624247.

Adding to 126123144 its reverse (441321621), we get a palindrome (567444765).

The spelling of 126123144 in words is "one hundred twenty-six million, one hundred twenty-three thousand, one hundred forty-four".