144078912000 has 400 divisors, whose sum is σ = 536706253512. Its totient is φ = 38419660800.

The previous prime is 144078911987. The next prime is 144078912001. The reversal of 144078912000 is 219870441.

144078912000 is a `hidden beast` number, since 1 + 440 + 7 + 8 + 9 + 1 + 200 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9560146176 + 134518765824 = 97776^2 + 366768^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (144078912001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5170104 + ... + 5197896.

Almost surely, 2^144078912000 is an apocalyptic number.

144078912000 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 144078912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268353126756).

144078912000 is an abundant number, since it is smaller than the sum of its proper divisors (392627341512).

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

144078912000 is an frugal number, since it uses more digits than its factorization.

144078912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27838 (or 27803 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 144078912000 in words is "one hundred forty-four billion, seventy-eight million, nine hundred twelve thousand".