144660096 has 96 divisors (see below), whose sum is σ = 475768800. Its totient is φ = 41329152.

The previous prime is 144660073. The next prime is 144660137. The reversal of 144660096 is 690066441.

144660096 is a `hidden beast` number, since 1 + 4 + 46 + 600 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 144660096.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 906 + ... + 17033.

It is an arithmetic number, because the mean of its divisors is an integer number (4955925).

Almost surely, 2^144660096 is an apocalyptic number.

144660096 is a gapful number since it is divisible by the number (16) 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 144660096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237884400).

144660096 is an abundant number, since it is smaller than the sum of its proper divisors (331108704).

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

144660096 is a wasteful number, since it uses less digits than its factorization.

144660096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17966 (or 17951 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 144660096 is about 12027.4725524526. The cubic root of 144660096 is about 524.9479567459.

The spelling of 144660096 in words is "one hundred forty-four million, six hundred sixty thousand, ninety-six".