144893952 has 144 divisors (see below), whose sum is σ = 478689120. Its totient is φ = 41361408.

The previous prime is 144893933. The next prime is 144893953. The reversal of 144893952 is 259398441.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 144893898 and 144893907.

It is not an unprimeable number, because it can be changed into a prime (144893953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128463 + ... + 129585.

It is an arithmetic number, because the mean of its divisors is an integer number (3324230).

Almost surely, 2^144893952 is an apocalyptic number.

144893952 is a gapful number since it is divisible by the number (12) 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 144893952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239344560).

144893952 is an abundant number, since it is smaller than the sum of its proper divisors (333795168).

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

144893952 is a wasteful number, since it uses less digits than its factorization.

144893952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1135 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 144893952 is about 12037.1903698496. The cubic root of 144893952 is about 525.2306795793.

The spelling of 144893952 in words is "one hundred forty-four million, eight hundred ninety-three thousand, nine hundred fifty-two".