144796896 has 96 divisors (see below), whose sum is σ = 427744800. Its totient is φ = 48242304.

The previous prime is 144796889. The next prime is 144796907. The reversal of 144796896 is 698697441.

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

It is a super-2 number, since 2×144796896² = 41932282182469632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 15 ways as a sum of consecutive naturals, for example, 68950 + ... + 71018.

It is an arithmetic number, because the mean of its divisors is an integer number (4455675).

Almost surely, 2^144796896 is an apocalyptic number.

144796896 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 144796896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213872400).

144796896 is an abundant number, since it is smaller than the sum of its proper divisors (282947904).

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

144796896 is an frugal number, since it uses more digits than its factorization.

144796896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2074 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 144796896 is about 12033.1581889378. The cubic root of 144796896 is about 525.1133795943.

The spelling of 144796896 in words is "one hundred forty-four million, seven hundred ninety-six thousand, eight hundred ninety-six".