144075714400 has 144 divisors (see below), whose sum is σ = 353785356288. Its totient is φ = 57293888000.

The previous prime is 144075714383. The next prime is 144075714413. The reversal of 144075714400 is 4417570441.

It is a super-2 number, since 2×144075714400² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144075714400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132057855 + ... + 132058945.

It is an arithmetic number, because the mean of its divisors is an integer number (2456842752).

Almost surely, 2^144075714400 is an apocalyptic number.

144075714400 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 144075714400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176892678144).

144075714400 is an abundant number, since it is smaller than the sum of its proper divisors (209709641888).

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

144075714400 is a wasteful number, since it uses less digits than its factorization.

144075714400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 37.

The spelling of 144075714400 in words is "one hundred forty-four billion, seventy-five million, seven hundred fourteen thousand, four hundred".