144679680 has 216 divisors, whose sum is σ = 527719920. Its totient is φ = 36495360.

The previous prime is 144679669. The next prime is 144679709. The reversal of 144679680 is 86976441.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 218550 + ... + 219210.

Almost surely, 2^144679680 is an apocalyptic number.

144679680 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 144679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263859960).

144679680 is an abundant number, since it is smaller than the sum of its proper divisors (383040240).

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

144679680 is a wasteful number, since it uses less digits than its factorization.

144679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 144679680 is about 12028.2866610336. The cubic root of 144679680 is about 524.9716447271.

The spelling of 144679680 in words is "one hundred forty-four million, six hundred seventy-nine thousand, six hundred eighty".