159390400 has 168 divisors, whose sum is σ = 432125120. Its totient is φ = 57507840.

The previous prime is 159390397. The next prime is 159390431. The reversal of 159390400 is 4093951.

It is a super-2 number, since 2×159390400² = 50810599224320000, which contains 22 as substring.

It is a congruent number.

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, 1643152 + ... + 1643248.

Almost surely, 2^159390400 is an apocalyptic number.

159390400 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 159390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216062560).

159390400 is an abundant number, since it is smaller than the sum of its proper divisors (272734720).

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

159390400 is a wasteful number, since it uses less digits than its factorization.

159390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 159390400 is about 12624.9910891058. The cubic root of 159390400 is about 542.1931837694.

The spelling of 159390400 in words is "one hundred fifty-nine million, three hundred ninety thousand, four hundred".