144856360 has 72 divisors (see below), whose sum is σ = 360332910. Its totient is φ = 52370560.

The previous prime is 144856357. The next prime is 144856373. The reversal of 144856360 is 63658441.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 144817156 + 39204 = 12034^2 + 198^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 837234 + ... + 837406.

Almost surely, 2^144856360 is an apocalyptic number.

144856360 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 144856360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180166455).

144856360 is an abundant number, since it is smaller than the sum of its proper divisors (215476550).

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

144856360 is a wasteful number, since it uses less digits than its factorization.

144856360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 144856360 is about 12035.6287746009. The cubic root of 144856360 is about 525.1852528397.

The spelling of 144856360 in words is "one hundred forty-four million, eight hundred fifty-six thousand, three hundred sixty".