144049920 has 288 divisors, whose sum is σ = 550996992. Its totient is φ = 31358976.

The previous prime is 144049907. The next prime is 144049973. The reversal of 144049920 is 29940441.

It is a congruent number.

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, 618124 + ... + 618356.

It is an arithmetic number, because the mean of its divisors is an integer number (1913184).

Almost surely, 2^144049920 is an apocalyptic number.

144049920 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 144049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275498496).

144049920 is an abundant number, since it is smaller than the sum of its proper divisors (406947072).

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

144049920 is a wasteful number, since it uses less digits than its factorization.

144049920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 273 counting only the distinct ones).

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

The square root of 144049920 is about 12002.0798197646. The cubic root of 144049920 is about 524.2088400897.

It can be divided in two parts, 1440 and 49920, that added together give a triangular number (51360 = T₃₂₀).

The spelling of 144049920 in words is "one hundred forty-four million, forty-nine thousand, nine hundred twenty".