144616480 has 48 divisors (see below), whose sum is σ = 342377280. Its totient is φ = 57724672.

The previous prime is 144616469. The next prime is 144616561. The reversal of 144616480 is 84616441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141411 + ... + 142429.

It is an arithmetic number, because the mean of its divisors is an integer number (7132860).

Almost surely, 2^144616480 is an apocalyptic number.

144616480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144616480 is an abundant number, since it is smaller than the sum of its proper divisors (197760800).

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

144616480 is a wasteful number, since it uses less digits than its factorization.

144616480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 144616480 is about 12025.6592334890. The cubic root of 144616480 is about 524.8951929863.

The spelling of 144616480 in words is "one hundred forty-four million, six hundred sixteen thousand, four hundred eighty".