159156000 has 144 divisors (see below), whose sum is σ = 564972408. Its totient is φ = 42432000.

The previous prime is 159155999. The next prime is 159156043. The reversal of 159156000 is 651951.

159156000 is a `hidden beast` number, since 1 + 59 + 1 + 5 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 74442384 + 84713616 = 8628^2 + 9204^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33790 + ... + 38210.

Almost surely, 2^159156000 is an apocalyptic number.

159156000 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 159156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282486204).

159156000 is an abundant number, since it is smaller than the sum of its proper divisors (405816408).

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

159156000 is a wasteful number, since it uses less digits than its factorization.

159156000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4452 (or 4431 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 159156000 is about 12615.7044987587. The cubic root of 159156000 is about 541.9272697351.

The spelling of 159156000 in words is "one hundred fifty-nine million, one hundred fifty-six thousand".