257104148 has 24 divisors (see below), whose sum is σ = 514950912. Its totient is φ = 110028384.

The previous prime is 257104103. The next prime is 257104151. The reversal of 257104148 is 841401752.

It is a happy number.

It is a super-3 number, since 3×257104148³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 14261 + ... + 26787.

It is an arithmetic number, because the mean of its divisors is an integer number (21456288).

Almost surely, 2^257104148 is an apocalyptic number.

257104148 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

257104148 is an abundant number, since it is smaller than the sum of its proper divisors (257846764).

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

257104148 is a wasteful number, since it uses less digits than its factorization.

257104148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13271 (or 13269 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 257104148 is about 16034.4674997332. The cubic root of 257104148 is about 635.8719894521.

The spelling of 257104148 in words is "two hundred fifty-seven million, one hundred four thousand, one hundred forty-eight".