126390144 has 96 divisors (see below), whose sum is σ = 345321000. Its totient is φ = 40956928.

The previous prime is 126390139. The next prime is 126390157. The reversal of 126390144 is 441093621.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 848182 + ... + 848330.

Almost surely, 2^126390144 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 126390144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172660500).

126390144 is an abundant number, since it is smaller than the sum of its proper divisors (218930856).

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

126390144 is an equidigital number, since it uses as much as digits as its factorization.

126390144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 126390144 is about 11242.3371235700. The cubic root of 126390144 is about 501.8466963614.

The spelling of 126390144 in words is "one hundred twenty-six million, three hundred ninety thousand, one hundred forty-four".