144540754560 has 512 divisors, whose sum is σ = 532432166400. Its totient is φ = 37489029120.

The previous prime is 144540754529. The next prime is 144540754583. The reversal of 144540754560 is 65457045441.

144540754560 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 40 + 7 + 545 + 60 = 666.

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 63 ways as a sum of consecutive naturals, for example, 51786765 + ... + 51789555.

It is an arithmetic number, because the mean of its divisors is an integer number (1039906575).

Almost surely, 2^144540754560 is an apocalyptic number.

144540754560 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 144540754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266216083200).

144540754560 is an abundant number, since it is smaller than the sum of its proper divisors (387891411840).

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

144540754560 is an frugal number, since it uses more digits than its factorization.

144540754560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 144540754560 in words is "one hundred forty-four billion, five hundred forty million, seven hundred fifty-four thousand, five hundred sixty".