144556960 has 72 divisors (see below), whose sum is σ = 349789860. Its totient is φ = 56454144.

The previous prime is 144556949. The next prime is 144556961. The reversal of 144556960 is 69655441.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 140280336 + 4276624 = 11844^2 + 2068^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (144556961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 353236 + ... + 353644.

Almost surely, 2^144556960 is an apocalyptic number.

144556960 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 144556960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174894930).

144556960 is an abundant number, since it is smaller than the sum of its proper divisors (205232900).

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

144556960 is an equidigital number, since it uses as much as digits as its factorization.

144556960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 144556960 is about 12023.1842704003. The cubic root of 144556960 is about 524.8231724970.

The spelling of 144556960 in words is "one hundred forty-four million, five hundred fifty-six thousand, nine hundred sixty".