259145712 has 180 divisors, whose sum is σ = 888518280. Its totient is φ = 70108416.

The previous prime is 259145701. The next prime is 259145729. The reversal of 259145712 is 217541952.

259145712 is a `hidden beast` number, since 2 + 591 + 4 + 57 + 12 = 666.

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 35 ways as a sum of consecutive naturals, for example, 133098 + ... + 135030.

Almost surely, 2^259145712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259145712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444259140).

259145712 is an abundant number, since it is smaller than the sum of its proper divisors (629372568).

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

259145712 is a wasteful number, since it uses less digits than its factorization.

259145712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 1964 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 259145712 is about 16098.0033544536. The cubic root of 259145712 is about 637.5506248148.

It can be divided in two parts, 25914 and 5712, that added together give a triangular number (31626 = T₂₅₁).

The spelling of 259145712 in words is "two hundred fifty-nine million, one hundred forty-five thousand, seven hundred twelve".