257103125136 has 660 divisors, whose sum is σ = 889594262844. Its totient is φ = 71501253120.

The previous prime is 257103125129. The next prime is 257103125177. The reversal of 257103125136 is 631521301752.

257103125136 is a `hidden beast` number, since 2 + 571 + 0 + 3 + 1 + 2 + 51 + 36 = 666.

257103125136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 140040608400 + 117062516736 = 374220^2 + 342144^2 .

It is a super-2 number, since 2×257103125136² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 257103125136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 1486145146 + ... + 1486145318.

Almost surely, 2^257103125136 is an apocalyptic number.

257103125136 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 257103125136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444797131422).

257103125136 is an abundant number, since it is smaller than the sum of its proper divisors (632491137708).

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

257103125136 is a wasteful number, since it uses less digits than its factorization.

257103125136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

Adding to 257103125136 its reverse (631521301752), we get a palindrome (888624426888).

The spelling of 257103125136 in words is "two hundred fifty-seven billion, one hundred three million, one hundred twenty-five thousand, one hundred thirty-six".