144936864 has 192 divisors, whose sum is σ = 454608000. Its totient is φ = 45349632.

The previous prime is 144936853. The next prime is 144936871. The reversal of 144936864 is 468639441.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1329642 + ... + 1329750.

It is an arithmetic number, because the mean of its divisors is an integer number (2367750).

Almost surely, 2^144936864 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 144936864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227304000).

144936864 is an abundant number, since it is smaller than the sum of its proper divisors (309671136).

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

144936864 is an equidigital number, since it uses as much as digits as its factorization.

144936864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 133 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 144936864 is about 12038.9727136496. The cubic root of 144936864 is about 525.2825254844.

The spelling of 144936864 in words is "one hundred forty-four million, nine hundred thirty-six thousand, eight hundred sixty-four".