144259920 has 480 divisors, whose sum is σ = 610675200. Its totient is φ = 31159296.

The previous prime is 144259879. The next prime is 144259987. The reversal of 144259920 is 29952441.

144259920 is a `hidden beast` number, since 1 + 4 + 42 + 599 + 20 = 666.

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, 3069337 + ... + 3069383.

It is an arithmetic number, because the mean of its divisors is an integer number (1272240).

Almost surely, 2^144259920 is an apocalyptic number.

144259920 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 144259920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305337600).

144259920 is an abundant number, since it is smaller than the sum of its proper divisors (466415280).

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

144259920 is a wasteful number, since it uses less digits than its factorization.

144259920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 144259920 is about 12010.8251173681. The cubic root of 144259920 is about 524.4634518365.

The spelling of 144259920 in words is "one hundred forty-four million, two hundred fifty-nine thousand, nine hundred twenty".