144970721280 has 1152 divisors, whose sum is σ = 647610163200. Its totient is φ = 29107814400.

The previous prime is 144970721263. The next prime is 144970721309. The reversal of 144970721280 is 82127079441.

144970721280 is a `hidden beast` number, since 1 + 4 + 497 + 0 + 72 + 12 + 80 = 666.

144970721280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 219985591 + ... + 219986249.

It is an arithmetic number, because the mean of its divisors is an integer number (562161600).

Almost surely, 2^144970721280 is an apocalyptic number.

144970721280 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 144970721280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323805081600).

144970721280 is an abundant number, since it is smaller than the sum of its proper divisors (502639441920).

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

144970721280 is a wasteful number, since it uses less digits than its factorization.

144970721280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 144970721280 in words is "one hundred forty-four billion, nine hundred seventy million, seven hundred twenty-one thousand, two hundred eighty".