144788020 has 48 divisors (see below), whose sum is σ = 330877008. Its totient is φ = 52899840.

The previous prime is 144788003. The next prime is 144788023. The reversal of 144788020 is 20887441.

It can be written as a sum of positive squares in 8 ways, for example, as 11985444 + 132802576 = 3462^2 + 11524^2 .

Together with 186088988 it forms an amicable pair .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144788023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22350 + ... + 28090.

It is an arithmetic number, because the mean of its divisors is an integer number (6893271).

Almost surely, 2^144788020 is an apocalyptic number.

144788020 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 144788020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165438504).

144788020 is an abundant number, since it is smaller than the sum of its proper divisors (186088988).

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

144788020 is a wasteful number, since it uses less digits than its factorization.

144788020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5860 (or 5858 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 144788020 is about 12032.7893690532. The cubic root of 144788020 is about 525.1026496184.

The spelling of 144788020 in words is "one hundred forty-four million, seven hundred eighty-eight thousand, twenty".