144950764140 has 768 divisors, whose sum is σ = 582016512000. Its totient is φ = 29738161152.

The previous prime is 144950764139. The next prime is 144950764159. The reversal of 144950764140 is 41467059441.

144950764140 is a `hidden beast` number, since 1 + 4 + 49 + 507 + 64 + 1 + 40 = 666.

144950764140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 89090007 + ... + 89091633.

It is an arithmetic number, because the mean of its divisors is an integer number (757834000).

Almost surely, 2^144950764140 is an apocalyptic number.

144950764140 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 144950764140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291008256000).

144950764140 is an abundant number, since it is smaller than the sum of its proper divisors (437065747860).

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

144950764140 is a wasteful number, since it uses less digits than its factorization.

144950764140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716 (or 1694 counting only the distinct ones).

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

The spelling of 144950764140 in words is "one hundred forty-four billion, nine hundred fifty million, seven hundred sixty-four thousand, one hundred forty".