159158400 has 192 divisors, whose sum is σ = 535010400. Its totient is φ = 41574400.

The previous prime is 159158399. The next prime is 159158401. The reversal of 159158400 is 4851951.

It is an interprime number because it is at equal distance from previous prime (159158399) and next prime (159158401).

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (159158401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 566260 + ... + 566540.

Almost surely, 2^159158400 is an apocalyptic number.

159158400 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 159158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267505200).

159158400 is an abundant number, since it is smaller than the sum of its proper divisors (375852000).

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

159158400 is a wasteful number, since it uses less digits than its factorization.

159158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 159158400 is about 12615.7996179394. The cubic root of 159158400 is about 541.9299937268.

The spelling of 159158400 in words is "one hundred fifty-nine million, one hundred fifty-eight thousand, four hundred".