159138000 has 320 divisors, whose sum is σ = 653053440. Its totient is φ = 36288000.

The previous prime is 159137947. The next prime is 159138011. The reversal of 159138000 is 831951.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 377790 + ... + 378210.

It is an arithmetic number, because the mean of its divisors is an integer number (2040792).

Almost surely, 2^159138000 is an apocalyptic number.

159138000 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 159138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326526720).

159138000 is an abundant number, since it is smaller than the sum of its proper divisors (493915440).

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

159138000 is a wasteful number, since it uses less digits than its factorization.

159138000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 159138000 is about 12614.9910820420. The cubic root of 159138000 is about 541.9068389237.

Adding to 159138000 its reverse (831951), we get a palindrome (159969951).

It can be divided in two parts, 159 and 138000, that multiplied together give a triangular number (21942000 = T₆₆₂₄).

The spelling of 159138000 in words is "one hundred fifty-nine million, one hundred thirty-eight thousand".