159139200 has 288 divisors, whose sum is σ = 580353480. Its totient is φ = 38297600.

The previous prime is 159139171. The next prime is 159139217. The reversal of 159139200 is 2931951.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1161532 + ... + 1161668.

Almost surely, 2^159139200 is an apocalyptic number.

159139200 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 159139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290176740).

159139200 is an abundant number, since it is smaller than the sum of its proper divisors (421214280).

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

159139200 is a wasteful number, since it uses less digits than its factorization.

159139200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 159139200 is about 12615.0386444117. The cubic root of 159139200 is about 541.9082010258.

The spelling of 159139200 in words is "one hundred fifty-nine million, one hundred thirty-nine thousand, two hundred".