159188064 has 144 divisors (see below), whose sum is σ = 498028608. Its totient is φ = 44368128.

The previous prime is 159188053. The next prime is 159188089. The reversal of 159188064 is 460881951.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201879 + ... + 202665.

It is an arithmetic number, because the mean of its divisors is an integer number (3458532).

Almost surely, 2^159188064 is an apocalyptic number.

159188064 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 159188064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249014304).

159188064 is an abundant number, since it is smaller than the sum of its proper divisors (338840544).

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

159188064 is a wasteful number, since it uses less digits than its factorization.

159188064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 159188064 is about 12616.9752318058. The cubic root of 159188064 is about 541.9636600046.

The spelling of 159188064 in words is "one hundred fifty-nine million, one hundred eighty-eight thousand, sixty-four".