259542144 has 80 divisors (see below), whose sum is σ = 772424070. Its totient is φ = 86510592.

The previous prime is 259542119. The next prime is 259542149. The reversal of 259542144 is 441245952.

It is a happy number.

259542144 is a `hidden beast` number, since 2 + 595 + 4 + 21 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 253191744 + 6350400 = 15912^2 + 2520^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 259542099 and 259542108.

It is not an unprimeable number, because it can be changed into a prime (259542149) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2149 + ... + 22884.

Almost surely, 2^259542144 is an apocalyptic number.

259542144 is a gapful number since it is divisible by the number (24) 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 259542144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386212035).

259542144 is an abundant number, since it is smaller than the sum of its proper divisors (512881926).

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

259542144 is an equidigital number, since it uses as much as digits as its factorization.

259542144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25059 (or 25038 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 259542144 is about 16110.3117288276. The cubic root of 259542144 is about 637.8755600239.

The spelling of 259542144 in words is "two hundred fifty-nine million, five hundred forty-two thousand, one hundred forty-four".