159693120 has 280 divisors, whose sum is σ = 583085448. Its totient is φ = 41472000.

The previous prime is 159693103. The next prime is 159693133. The reversal of 159693120 is 21396951.

It can be written as a sum of positive squares in 4 ways, for example, as 15116544 + 144576576 = 3888^2 + 12024^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1581070 + ... + 1581170.

Almost surely, 2^159693120 is an apocalyptic number.

159693120 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 159693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291542724).

159693120 is an abundant number, since it is smaller than the sum of its proper divisors (423392328).

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

159693120 is a wasteful number, since it uses less digits than its factorization.

159693120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 159693120 is about 12636.9743214110. The cubic root of 159693120 is about 542.5362176476.

It can be divided in two parts, 1596931 and 20, that added together give a palindrome (1596951).

The spelling of 159693120 in words is "one hundred fifty-nine million, six hundred ninety-three thousand, one hundred twenty".