144671383125000 has 1024 divisors, whose sum is σ = 513186186240000. Its totient is φ = 37753452000000.

The previous prime is 144671383124977. The next prime is 144671383125019. The reversal of 144671383125000 is 521383176441.

144671383125000 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 7 + 138 + 3 + 1 + 2 + 500 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 224994374679 + ... + 224994375321.

It is an arithmetic number, because the mean of its divisors is an integer number (501158385000).

Almost surely, 2^{144671383125000} is an apocalyptic number.

144671383125000 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 144671383125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256593093120000).

144671383125000 is an abundant number, since it is smaller than the sum of its proper divisors (368514803115000).

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

144671383125000 is an frugal number, since it uses more digits than its factorization.

144671383125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 144671383125000 in words is "one hundred forty-four trillion, six hundred seventy-one billion, three hundred eighty-three million, one hundred twenty-five thousand".