144586992 has 80 divisors (see below), whose sum is σ = 417473280. Its totient is φ = 42739200.

The previous prime is 144586991. The next prime is 144587059. The reversal of 144586992 is 299685441.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144586991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18309 + ... + 24987.

It is an arithmetic number, because the mean of its divisors is an integer number (5218416).

Almost surely, 2^144586992 is an apocalyptic number.

144586992 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 144586992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208736640).

144586992 is an abundant number, since it is smaller than the sum of its proper divisors (272886288).

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

144586992 is a wasteful number, since it uses less digits than its factorization.

144586992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6742 (or 6736 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 144586992 is about 12024.4331259316. The cubic root of 144586992 is about 524.8595143380.

The spelling of 144586992 in words is "one hundred forty-four million, five hundred eighty-six thousand, nine hundred ninety-two".