159828900 has 432 divisors, whose sum is σ = 631709568. Its totient is φ = 30412800.

The previous prime is 159828887. The next prime is 159828923. The reversal of 159828900 is 9828951.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4319682 + ... + 4319718.

Almost surely, 2^159828900 is an apocalyptic number.

159828900 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 159828900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315854784).

159828900 is an abundant number, since it is smaller than the sum of its proper divisors (471880668).

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

159828900 is a wasteful number, since it uses less digits than its factorization.

159828900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 159828900 is about 12642.3455102287. The cubic root of 159828900 is about 542.6899389419.

The spelling of 159828900 in words is "one hundred fifty-nine million, eight hundred twenty-eight thousand, nine hundred".