144073128960 has 528 divisors, whose sum is σ = 512144661600. Its totient is φ = 37436915712.

The previous prime is 144073128931. The next prime is 144073128967. The reversal of 144073128960 is 69821370441.

144073128960 is a `hidden beast` number, since 1 + 440 + 73 + 1 + 2 + 89 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144073128967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 535587706 + ... + 535587974.

It is an arithmetic number, because the mean of its divisors is an integer number (969970950).

Almost surely, 2^144073128960 is an apocalyptic number.

144073128960 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 144073128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256072330800).

144073128960 is an abundant number, since it is smaller than the sum of its proper divisors (368071532640).

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

144073128960 is a wasteful number, since it uses less digits than its factorization.

144073128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 144073128960 in words is "one hundred forty-four billion, seventy-three million, one hundred twenty-eight thousand, nine hundred sixty".