144900096 has 136 divisors (see below), whose sum is σ = 427815744. Its totient is φ = 43253760.

The previous prime is 144900089. The next prime is 144900097. The reversal of 144900096 is 690009441.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (144900097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2162655 + ... + 2162721.

It is an arithmetic number, because the mean of its divisors is an integer number (3145704).

Almost surely, 2^144900096 is an apocalyptic number.

144900096 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 144900096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213907872).

144900096 is an abundant number, since it is smaller than the sum of its proper divisors (282915648).

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

144900096 is an frugal number, since it uses more digits than its factorization.

144900096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 144900096 is about 12037.4455762010. The cubic root of 144900096 is about 525.2381033345.

The spelling of 144900096 in words is "one hundred forty-four million, nine hundred thousand, ninety-six".