249126144 has 72 divisors (see below), whose sum is σ = 666425760. Its totient is φ = 82618368.

The previous prime is 249126131. The next prime is 249126173. The reversal of 249126144 is 441621942.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 173622 + ... + 175050.

Almost surely, 2^249126144 is an apocalyptic number.

249126144 is a gapful number since it is divisible by the number (24) 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 249126144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333212880).

249126144 is an abundant number, since it is smaller than the sum of its proper divisors (417299616).

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

249126144 is a wasteful number, since it uses less digits than its factorization.

249126144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1661 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 249126144 is about 15783.7303575549. The cubic root of 249126144 is about 629.2256750312.

The spelling of 249126144 in words is "two hundred forty-nine million, one hundred twenty-six thousand, one hundred forty-four".