259421136 has 80 divisors (see below), whose sum is σ = 759743040. Its totient is φ = 75617280.

The previous prime is 259421111. The next prime is 259421159. The reversal of 259421136 is 631124952.

It is a junction number, because it is equal to n+sod(n) for n = 259421097 and 259421106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 916 + ... + 22796.

It is an arithmetic number, because the mean of its divisors is an integer number (9496788).

Almost surely, 2^259421136 is an apocalyptic number.

259421136 is a gapful number since it is divisible by the number (26) 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 259421136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379871520).

259421136 is an abundant number, since it is smaller than the sum of its proper divisors (500321904).

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

259421136 is a wasteful number, since it uses less digits than its factorization.

259421136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21924 (or 21918 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 259421136 is about 16106.5556839443. Note that the first 3 decimals coincide. The cubic root of 259421136 is about 637.7764110075.

The spelling of 259421136 in words is "two hundred fifty-nine million, four hundred twenty-one thousand, one hundred thirty-six".