144800096 has 36 divisors (see below), whose sum is σ = 331621668. Its totient is φ = 62056512.

The previous prime is 144800087. The next prime is 144800107. The reversal of 144800096 is 690008441.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 44606 + ... + 47741.

It is an arithmetic number, because the mean of its divisors is an integer number (9211713).

Almost surely, 2^144800096 is an apocalyptic number.

144800096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144800096 is an abundant number, since it is smaller than the sum of its proper divisors (186821572).

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

144800096 is an equidigital number, since it uses as much as digits as its factorization.

144800096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92371 (or 92356 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 144800096 is about 12033.2911541274. The cubic root of 144800096 is about 525.1172478872.

The spelling of 144800096 in words is "one hundred forty-four million, eight hundred thousand, ninety-six".