144500040 has 96 divisors (see below), whose sum is σ = 485854200. Its totient is φ = 37201920.

The previous prime is 144500023. The next prime is 144500071. The reversal of 144500040 is 40005441.

It can be written as a sum of positive squares in 4 ways, for example, as 105637284 + 38862756 = 10278^2 + 6234^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 144499986 and 144500022.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3520 + ... + 17360.

Almost surely, 2^144500040 is an apocalyptic number.

144500040 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 144500040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242927100).

144500040 is an abundant number, since it is smaller than the sum of its proper divisors (341354160).

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

144500040 is a wasteful number, since it uses less digits than its factorization.

144500040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13887 (or 13880 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 144500040 is about 12020.8169439519. The cubic root of 144500040 is about 524.7542795690.

Adding to 144500040 its reverse (40005441), we get a palindrome (184505481).

It can be divided in two parts, 14 and 4500040, that added together give a palindrome (4500054).

The spelling of 144500040 in words is "one hundred forty-four million, five hundred thousand, forty".