259145120 has 96 divisors (see below), whose sum is σ = 680762880. Its totient is φ = 92574720.

The previous prime is 259145113. The next prime is 259145129. The reversal of 259145120 is 21541952.

259145120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (259145129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62471 + ... + 66489.

It is an arithmetic number, because the mean of its divisors is an integer number (7091280).

Almost surely, 2^259145120 is an apocalyptic number.

259145120 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 259145120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340381440).

259145120 is an abundant number, since it is smaller than the sum of its proper divisors (421617760).

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

259145120 is a wasteful number, since it uses less digits than its factorization.

259145120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4078 (or 4070 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 259145120 is about 16097.9849670696. The cubic root of 259145120 is about 637.5501393347.

The spelling of 259145120 in words is "two hundred fifty-nine million, one hundred forty-five thousand, one hundred twenty".