144485680 has 40 divisors (see below), whose sum is σ = 338406912. Its totient is φ = 57368064.

The previous prime is 144485659. The next prime is 144485683. The reversal of 144485680 is 86584441.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×144485680² = 41752223450124800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (144485683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4369 + ... + 17551.

Almost surely, 2^144485680 is an apocalyptic number.

144485680 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 144485680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169203456).

144485680 is an abundant number, since it is smaller than the sum of its proper divisors (193921232).

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

144485680 is a wasteful number, since it uses less digits than its factorization.

144485680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13333 (or 13327 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The square root of 144485680 is about 12020.2196319368. The cubic root of 144485680 is about 524.7368961342.

The spelling of 144485680 in words is "one hundred forty-four million, four hundred eighty-five thousand, six hundred eighty".