144159238080 has 2240 divisors, whose sum is σ = 669165235200. Its totient is φ = 28904325120.

The previous prime is 144159238079. The next prime is 144159238081. The reversal of 144159238080 is 80832951441.

144159238080 is a `hidden beast` number, since 1 + 44 + 159 + 2 + 380 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (144159238079) and next prime (144159238081).

It is a super-2 number, since 2×144159238080² (a number of 23 digits) contains 22 as substring.

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 (144159238081) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1619766676 + ... + 1619766764.

It is an arithmetic number, because the mean of its divisors is an integer number (298734480).

Almost surely, 2^144159238080 is an apocalyptic number.

144159238080 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 144159238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334582617600).

144159238080 is an abundant number, since it is smaller than the sum of its proper divisors (525005997120).

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

144159238080 is a wasteful number, since it uses less digits than its factorization.

144159238080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 144159238080 in words is "one hundred forty-four billion, one hundred fifty-nine million, two hundred thirty-eight thousand, eighty".