159189107351040 has 480 divisors, whose sum is σ = 593891976918240. Its totient is φ = 39174032130048.

The previous prime is 159189107350997. The next prime is 159189107351081. The reversal of 159189107351040 is 40153701981951.

159189107351040 is a `hidden beast` number, since 1 + 5 + 9 + 1 + 8 + 9 + 10 + 73 + 510 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1095871054 + ... + 1096016306.

It is an arithmetic number, because the mean of its divisors is an integer number (1237274951913).

Almost surely, 2^{159189107351040} is an apocalyptic number.

159189107351040 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 159189107351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296945988459120).

159189107351040 is an abundant number, since it is smaller than the sum of its proper divisors (434702869567200).

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

159189107351040 is a wasteful number, since it uses less digits than its factorization.

159189107351040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148954 (or 148935 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 54.

The spelling of 159189107351040 in words is "one hundred fifty-nine trillion, one hundred eighty-nine billion, one hundred seven million, three hundred fifty-one thousand, forty".