144957984 has 96 divisors (see below), whose sum is σ = 399200256. Its totient is φ = 45999360.

The previous prime is 144957947. The next prime is 144957991. The reversal of 144957984 is 489759441.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199029 + ... + 199755.

It is an arithmetic number, because the mean of its divisors is an integer number (4158336).

Almost surely, 2^144957984 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 144957984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199600128).

144957984 is an abundant number, since it is smaller than the sum of its proper divisors (254242272).

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

144957984 is a wasteful number, since it uses less digits than its factorization.

144957984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 830 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 144957984 is about 12039.8498329506. The cubic root of 144957984 is about 525.3080387270.

The spelling of 144957984 in words is "one hundred forty-four million, nine hundred fifty-seven thousand, nine hundred eighty-four".