144985512 has 192 divisors, whose sum is σ = 450455040. Its totient is φ = 38707200.

The previous prime is 144985507. The next prime is 144985513. The reversal of 144985512 is 215589441.

Its product of digits (57600) is a multiple of the sum of its prime factors (192).

It is not an unprimeable number, because it can be changed into a prime (144985513) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1494648 + ... + 1494744.

It is an arithmetic number, because the mean of its divisors is an integer number (2346120).

Almost surely, 2^144985512 is an apocalyptic number.

144985512 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 144985512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225227520).

144985512 is an abundant number, since it is smaller than the sum of its proper divisors (305469528).

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

144985512 is a wasteful number, since it uses less digits than its factorization.

144985512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 181 counting only the distinct ones).

The product of its digits is 57600, while the sum is 39.

The square root of 144985512 is about 12040.9929823084. The cubic root of 144985512 is about 525.3412891996.

The spelling of 144985512 in words is "one hundred forty-four million, nine hundred eighty-five thousand, five hundred twelve".