144005792 has 48 divisors (see below), whose sum is σ = 325789632. Its totient is φ = 61378560.

The previous prime is 144005779. The next prime is 144005833. The reversal of 144005792 is 297500441.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41567 + ... + 44897.

It is an arithmetic number, because the mean of its divisors is an integer number (6787284).

Almost surely, 2^144005792 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 144005792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162894816).

144005792 is an abundant number, since it is smaller than the sum of its proper divisors (181783840).

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

144005792 is a wasteful number, since it uses less digits than its factorization.

144005792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3541 (or 3533 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 144005792 is about 12000.2413309066. The cubic root of 144005792 is about 524.1553062171.

The spelling of 144005792 in words is "one hundred forty-four million, five thousand, seven hundred ninety-two".