144591680 has 56 divisors (see below), whose sum is σ = 356204520. Its totient is φ = 55838720.

The previous prime is 144591679. The next prime is 144591683. The reversal of 144591680 is 86195441.

It can be written as a sum of positive squares in 4 ways, for example, as 7795264 + 136796416 = 2792^2 + 11696^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144591683) by changing a digit.

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, 1490 + ... + 17070.

It is an arithmetic number, because the mean of its divisors is an integer number (6360795).

Almost surely, 2^144591680 is an apocalyptic number.

144591680 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 144591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178102260).

144591680 is an abundant number, since it is smaller than the sum of its proper divisors (211612840).

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

144591680 is a wasteful number, since it uses less digits than its factorization.

144591680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15627 (or 15617 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 144591680 is about 12024.6280607759. The cubic root of 144591680 is about 524.8651868511.

The spelling of 144591680 in words is "one hundred forty-four million, five hundred ninety-one thousand, six hundred eighty".