144661920 has 192 divisors, whose sum is σ = 497871360. Its totient is φ = 35094528.

The previous prime is 144661883. The next prime is 144661931. The reversal of 144661920 is 29166441.

144661920 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 605161 + ... + 605399.

It is an arithmetic number, because the mean of its divisors is an integer number (2593080).

Almost surely, 2^144661920 is an apocalyptic number.

144661920 is a gapful number since it is divisible by the number (10) 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 144661920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248935680).

144661920 is an abundant number, since it is smaller than the sum of its proper divisors (353209440).

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

144661920 is a wasteful number, since it uses less digits than its factorization.

144661920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 144661920 is about 12027.5483786181. The cubic root of 144661920 is about 524.9501630697.

The spelling of 144661920 in words is "one hundred forty-four million, six hundred sixty-one thousand, nine hundred twenty".