144325020000 has 240 divisors, whose sum is σ = 541047209472. Its totient is φ = 32988480000.

The previous prime is 144325019953. The next prime is 144325020011. The reversal of 144325020000 is 20523441.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×144325020000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 248185 + ... + 591815.

Almost surely, 2^144325020000 is an apocalyptic number.

144325020000 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 144325020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270523604736).

144325020000 is an abundant number, since it is smaller than the sum of its proper divisors (396722189472).

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

144325020000 is an equidigital number, since it uses as much as digits as its factorization.

144325020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343671 (or 343648 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 144325020000 its reverse (20523441), we get a palindrome (144345543441).

The spelling of 144325020000 in words is "one hundred forty-four billion, three hundred twenty-five million, twenty thousand".