257136 has 40 divisors (see below), whose sum is σ = 726144. Its totient is φ = 77760.

The previous prime is 257123. The next prime is 257141. The reversal of 257136 is 631752.

It is a super-2 number, since 2×257136² = 132237844992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 257136.

It is an unprimeable number.

257136 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285 + ... + 771.

2²⁵⁷¹³⁶ 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 257136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363072).

257136 is an abundant number, since it is smaller than the sum of its proper divisors (469008).

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

257136 is a wasteful number, since it uses less digits than its factorization.

257136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 503 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 257136 is about 507.0857915580. The cubic root of 257136 is about 63.5898247240.

Adding to 257136 its reverse (631752), we get a palindrome (888888).

It can be divided in two parts, 257 and 136, that added together give a palindrome (393).

The spelling of 257136 in words is "two hundred fifty-seven thousand, one hundred thirty-six".