144448920 has 384 divisors, whose sum is σ = 610122240. Its totient is φ = 29859840.

The previous prime is 144448891. The next prime is 144448937. The reversal of 144448920 is 29844441.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 748344 + ... + 748536.

It is an arithmetic number, because the mean of its divisors is an integer number (1588860).

Almost surely, 2^144448920 is an apocalyptic number.

144448920 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 144448920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305061120).

144448920 is an abundant number, since it is smaller than the sum of its proper divisors (465673320).

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

144448920 is a wasteful number, since it uses less digits than its factorization.

144448920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 144448920 is about 12018.6904444702. The cubic root of 144448920 is about 524.6923912292.

The spelling of 144448920 in words is "one hundred forty-four million, four hundred forty-eight thousand, nine hundred twenty".