144213112304000 has 128 divisors (see below), whose sum is σ = 363901343476320. Its totient is φ = 56824270694400.

The previous prime is 144213112303991. The next prime is 144213112304153. The reversal of 144213112304000 is 403211312441.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×144213112304000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66191579 + ... + 68335578.

Almost surely, 2^{144213112304000} is an apocalyptic number.

144213112304000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144213112304000 is an abundant number, since it is smaller than the sum of its proper divisors (219688231172320).

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

144213112304000 is an equidigital number, since it uses as much as digits as its factorization.

144213112304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134527253 (or 134527231 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 144213112304000 its reverse (403211312441), we get a palindrome (144616323616441).

The spelling of 144213112304000 in words is "one hundred forty-four trillion, two hundred thirteen billion, one hundred twelve million, three hundred four thousand".