144900864 has 108 divisors (see below), whose sum is σ = 425045712. Its totient is φ = 47462400.

The previous prime is 144900863. The next prime is 144900871. The reversal of 144900864 is 468009441.

It is a happy number.

144900864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (144900863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140029 + ... + 141059.

Almost surely, 2^144900864 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 144900864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212522856).

144900864 is an abundant number, since it is smaller than the sum of its proper divisors (280144848).

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

144900864 is a wasteful number, since it uses less digits than its factorization.

144900864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 144900864 is about 12037.4774766144. The cubic root of 144900864 is about 525.2390312891.

The spelling of 144900864 in words is "one hundred forty-four million, nine hundred thousand, eight hundred sixty-four".