144897361920 has 288 divisors, whose sum is σ = 520796727360. Its totient is φ = 38638632960.

The previous prime is 144897361897. The next prime is 144897361949. The reversal of 144897361920 is 29163798441.

144897361920 is a `hidden beast` number, since 1 + 4 + 489 + 73 + 6 + 1 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2459205 + ... + 2517435.

It is an arithmetic number, because the mean of its divisors is an integer number (1808321970).

Almost surely, 2^144897361920 is an apocalyptic number.

144897361920 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 144897361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260398363680).

144897361920 is an abundant number, since it is smaller than the sum of its proper divisors (375899365440).

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

144897361920 is an frugal number, since it uses more digits than its factorization.

144897361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58273 (or 58241 counting only the distinct ones).

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

The spelling of 144897361920 in words is "one hundred forty-four billion, eight hundred ninety-seven million, three hundred sixty-one thousand, nine hundred twenty".