257130144 has 72 divisors (see below), whose sum is σ = 737778132. Its totient is φ = 84940800.

The previous prime is 257130119. The next prime is 257130157. The reversal of 257130144 is 441031752.

It can be written as a sum of positive squares in 2 ways, for example, as 243734544 + 13395600 = 15612^2 + 3660^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×257130144² = 132231821906921472, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28594 + ... + 36494.

Almost surely, 2^257130144 is an apocalyptic number.

257130144 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 257130144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368889066).

257130144 is an abundant number, since it is smaller than the sum of its proper divisors (480647988).

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

257130144 is a wasteful number, since it uses less digits than its factorization.

257130144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8030 (or 8019 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 257130144 is about 16035.2781079718. The cubic root of 257130144 is about 635.8934199000.

Adding to 257130144 its reverse (441031752), we get a palindrome (698161896).

The spelling of 257130144 in words is "two hundred fifty-seven million, one hundred thirty thousand, one hundred forty-four".