239145120 has 144 divisors (see below), whose sum is σ = 864176040. Its totient is φ = 60014592.

The previous prime is 239145119. The next prime is 239145131. The reversal of 239145120 is 21541932.

It can be written as a sum of positive squares in 4 ways, for example, as 203575824 + 35569296 = 14268^2 + 5964^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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, 19596 + ... + 29364.

Almost surely, 2^239145120 is an apocalyptic number.

239145120 is a gapful number since it is divisible by the number (20) 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 239145120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432088020).

239145120 is an abundant number, since it is smaller than the sum of its proper divisors (625030920).

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

239145120 is a wasteful number, since it uses less digits than its factorization.

239145120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9807 (or 9796 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 239145120 is about 15464.3176377104. The cubic root of 239145120 is about 620.7077592165.

The spelling of 239145120 in words is "two hundred thirty-nine million, one hundred forty-five thousand, one hundred twenty".