144506960 has 80 divisors (see below), whose sum is σ = 370757520. Its totient is φ = 52039680.

The previous prime is 144506933. The next prime is 144506969. The reversal of 144506960 is 69605441.

144506960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8271376 + 136235584 = 2876^2 + 11672^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×144506960² = 41764522976883200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144506960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144506969) 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, 40946 + ... + 44334.

It is an arithmetic number, because the mean of its divisors is an integer number (4634469).

Almost surely, 2^144506960 is an apocalyptic number.

144506960 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 144506960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185378760).

144506960 is an abundant number, since it is smaller than the sum of its proper divisors (226250560).

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

144506960 is a wasteful number, since it uses less digits than its factorization.

144506960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3456 (or 3450 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 144506960 is about 12021.1047745205. The cubic root of 144506960 is about 524.7626561334.

The spelling of 144506960 in words is "one hundred forty-four million, five hundred six thousand, nine hundred sixty".