144589680 has 120 divisors (see below), whose sum is σ = 487758960. Its totient is φ = 38384640.

The previous prime is 144589651. The next prime is 144589717. The reversal of 144589680 is 86985441.

144589680 is a `hidden beast` number, since 1 + 4 + 4 + 589 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294235 + ... + 294725.

It is an arithmetic number, because the mean of its divisors is an integer number (4064658).

Almost surely, 2^144589680 is an apocalyptic number.

144589680 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 144589680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243879480).

144589680 is an abundant number, since it is smaller than the sum of its proper divisors (343169280).

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

144589680 is a wasteful number, since it uses less digits than its factorization.

144589680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 144589680 is about 12024.5448978329. The cubic root of 144589680 is about 524.8627668520.

It can be divided in two parts, 1445 and 89680, that added together give a cube (91125 = 45³).

The spelling of 144589680 in words is "one hundred forty-four million, five hundred eighty-nine thousand, six hundred eighty".