145944744960 has 352 divisors, whose sum is σ = 534562947072. Its totient is φ = 33291141120.

The previous prime is 145944744941. The next prime is 145944744989. The reversal of 145944744960 is 69447449541.

It is a self number, because there is not a number n which added to its sum of digits gives 145944744960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69134305 + ... + 69136415.

It is an arithmetic number, because the mean of its divisors is an integer number (1518644736).

Almost surely, 2^145944744960 is an apocalyptic number.

145944744960 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 145944744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267281473536).

145944744960 is an abundant number, since it is smaller than the sum of its proper divisors (388618202112).

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

145944744960 is a wasteful number, since it uses less digits than its factorization.

145944744960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 145944744960 in words is "one hundred forty-five billion, nine hundred forty-four million, seven hundred forty-four thousand, nine hundred sixty".