144915039360 has 1920 divisors, whose sum is σ = 682996406400. Its totient is φ = 28569894912.

The previous prime is 144915039337. The next prime is 144915039361. The reversal of 144915039360 is 63930519441.

144915039360 is a `hidden beast` number, since 14 + 49 + 1 + 503 + 93 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 (144915039361) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1042554171 + ... + 1042554309.

It is an arithmetic number, because the mean of its divisors is an integer number (355727295).

Almost surely, 2^144915039360 is an apocalyptic number.

144915039360 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 144915039360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341498203200).

144915039360 is an abundant number, since it is smaller than the sum of its proper divisors (538081367040).

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

144915039360 is a wasteful number, since it uses less digits than its factorization.

144915039360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 144915039360 in words is "one hundred forty-four billion, nine hundred fifteen million, thirty-nine thousand, three hundred sixty".