159014454144 has 256 divisors, whose sum is σ = 520660224000. Its totient is φ = 41872932864.

The previous prime is 159014454139. The next prime is 159014454163. The reversal of 159014454144 is 441454410951.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 159014454096 and 159014454105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25121572 + ... + 25127900.

It is an arithmetic number, because the mean of its divisors is an integer number (2033829000).

Almost surely, 2^159014454144 is an apocalyptic number.

159014454144 is a gapful number since it is divisible by the number (14) 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 159014454144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260330112000).

159014454144 is an abundant number, since it is smaller than the sum of its proper divisors (361645769856).

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

159014454144 is a wasteful number, since it uses less digits than its factorization.

159014454144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7085 (or 7073 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 159014454144 in words is "one hundred fifty-nine billion, fourteen million, four hundred fifty-four thousand, one hundred forty-four".