257538866370136 has 128 divisors (see below), whose sum is σ = 529513497374400. Its totient is φ = 116718979276800.

The previous prime is 257538866370133. The next prime is 257538866370173. The reversal of 257538866370136 is 631073668835752.

257538866370136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257538866370133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 933234271 + ... + 933510193.

Almost surely, 2^{257538866370136} is an apocalyptic number.

257538866370136 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 257538866370136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264756748687200).

257538866370136 is an abundant number, since it is smaller than the sum of its proper divisors (271974631004264).

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

257538866370136 is a wasteful number, since it uses less digits than its factorization.

257538866370136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276789 (or 276785 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 70.

The spelling of 257538866370136 in words is "two hundred fifty-seven trillion, five hundred thirty-eight billion, eight hundred sixty-six million, three hundred seventy thousand, one hundred thirty-six".