257144130147300 has 144 divisors (see below), whose sum is σ = 854358296736000. Its totient is φ = 59057025091200.

The previous prime is 257144130147199. The next prime is 257144130147341. The reversal of 257144130147300 is 3741031441752.

It is a super-2 number, since 2×257144130147300² (a number of 30 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 2050528450 + ... + 2050653849.

Almost surely, 2^{257144130147300} is an apocalyptic number.

257144130147300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257144130147300 is an abundant number, since it is smaller than the sum of its proper divisors (597214166588700).

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

257144130147300 is a wasteful number, since it uses less digits than its factorization.

257144130147300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4101182346 (or 4101182339 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 257144130147300 in words is "two hundred fifty-seven trillion, one hundred forty-four billion, one hundred thirty million, one hundred forty-seven thousand, three hundred".