159408000 has 384 divisors, whose sum is σ = 608156640. Its totient is φ = 41472000.

The previous prime is 159407977. The next prime is 159408019. The reversal of 159408000 is 804951.

It is a tau number, because it is divible by the number of its divisors (384).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3887980 + ... + 3888020.

Almost surely, 2^159408000 is an apocalyptic number.

159408000 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 159408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304078320).

159408000 is an abundant number, since it is smaller than the sum of its proper divisors (448748640).

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

159408000 is an frugal number, since it uses more digits than its factorization.

159408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 159408000 is about 12625.6881000601. The cubic root of 159408000 is about 542.2131394857.

Adding to 159408000 its product of nonzero digits (1440), we get a triangular number (159409440 = T₁₇₈₅₅).

The spelling of 159408000 in words is "one hundred fifty-nine million, four hundred eight thousand".