257136765340 has 96 divisors (see below), whose sum is σ = 675864322560. Its totient is φ = 80000199936.

The previous prime is 257136765307. The next prime is 257136765367. The reversal of 257136765340 is 43567631752.

It is a super-2 number, since 2×257136765340² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1089942 + ... + 1304701.

It is an arithmetic number, because the mean of its divisors is an integer number (7040253360).

Almost surely, 2^257136765340 is an apocalyptic number.

257136765340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257136765340 is an abundant number, since it is smaller than the sum of its proper divisors (418727557220).

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

257136765340 is a wasteful number, since it uses less digits than its factorization.

257136765340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394731 (or 2394729 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 49.

The spelling of 257136765340 in words is "two hundred fifty-seven billion, one hundred thirty-six million, seven hundred sixty-five thousand, three hundred forty".