1237968144 has 240 divisors, whose sum is σ = 4167858240. Its totient is φ = 350784000.

The previous prime is 1237968133. The next prime is 1237968197. The reversal of 1237968144 is 4418697321.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1237968144.

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 47 ways as a sum of consecutive naturals, for example, 4932019 + ... + 4932269.

It is an arithmetic number, because the mean of its divisors is an integer number (17366076).

Almost surely, 2^1237968144 is an apocalyptic number.

1237968144 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 1237968144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083929120).

1237968144 is an abundant number, since it is smaller than the sum of its proper divisors (2929890096).

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

1237968144 is a wasteful number, since it uses less digits than its factorization.

1237968144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 496 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 1237968144 is about 35184.7714785815. The cubic root of 1237968144 is about 1073.7499495899.

The spelling of 1237968144 in words is "one billion, two hundred thirty-seven million, nine hundred sixty-eight thousand, one hundred forty-four".