144382680 has 96 divisors (see below), whose sum is σ = 505355760. Its totient is φ = 35539200.

The previous prime is 144382663. The next prime is 144382687. The reversal of 144382680 is 86283441.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144382687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10746 + ... + 20105.

Almost surely, 2^144382680 is an apocalyptic number.

144382680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144382680 is an abundant number, since it is smaller than the sum of its proper divisors (360973080).

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

144382680 is a wasteful number, since it uses less digits than its factorization.

144382680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30881 (or 30874 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 144382680 is about 12015.9344205933. The cubic root of 144382680 is about 524.6121761654.

The spelling of 144382680 in words is "one hundred forty-four million, three hundred eighty-two thousand, six hundred eighty".