257795136 has 105 divisors (see below), whose sum is σ = 767627751. Its totient is φ = 85546368.

The previous prime is 257795119. The next prime is 257795143. The reversal of 257795136 is 631597752.

The square root of 257795136 is 16056.

It is a perfect power (a square), and thus also a powerful number.

It is a junction number, because it is equal to n+sod(n) for n = 257795091 and 257795100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1155921 + ... + 1156143.

Almost surely, 2^257795136 is an apocalyptic number.

257795136 is the 16056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257795136

257795136 is an abundant number, since it is smaller than the sum of its proper divisors (509832615).

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

257795136 is an frugal number, since it uses more digits than its factorization.

257795136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 228 counting only the distinct ones).

The product of its digits is 396900, while the sum is 45.

The cubic root of 257795136 is about 636.4411321924.

Multiplying 257795136 by its product of digits (396900), we get a square (102318889478400 = 10115280²).

The spelling of 257795136 in words is "two hundred fifty-seven million, seven hundred ninety-five thousand, one hundred thirty-six".