126270144 has 448 divisors, whose sum is σ = 505236480. Its totient is φ = 29859840.

The previous prime is 126270113. The next prime is 126270149. The reversal of 126270144 is 441072621.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126270149) 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, 1729692 + ... + 1729764.

It is an arithmetic number, because the mean of its divisors is an integer number (1127760).

Almost surely, 2^126270144 is an apocalyptic number.

126270144 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 126270144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252618240).

126270144 is an abundant number, since it is smaller than the sum of its proper divisors (378966336).

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

126270144 is a wasteful number, since it uses less digits than its factorization.

126270144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 126270144 is about 11236.9988876034. The cubic root of 126270144 is about 501.6878214400.

The spelling of 126270144 in words is "one hundred twenty-six million, two hundred seventy thousand, one hundred forty-four".