126369144 has 96 divisors (see below), whose sum is σ = 385482240. Its totient is φ = 37051200.

The previous prime is 126369121. The next prime is 126369149. The reversal of 126369144 is 441963621.

126369144 is a `hidden beast` number, since 1 + 2 + 636 + 9 + 14 + 4 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 126369099 and 126369108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126369149) 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, 21979 + ... + 27125.

It is an arithmetic number, because the mean of its divisors is an integer number (4015440).

Almost surely, 2^126369144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126369144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192741120).

126369144 is an abundant number, since it is smaller than the sum of its proper divisors (259113096).

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

126369144 is a wasteful number, since it uses less digits than its factorization.

126369144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5201 (or 5194 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 126369144 is about 11241.4031152699. The cubic root of 126369144 is about 501.8189005117.

It can be divided in two parts, 1263 and 69144, that added together give a palindrome (70407).

The spelling of 126369144 in words is "one hundred twenty-six million, three hundred sixty-nine thousand, one hundred forty-four".