257207326134000 has 160 divisors (see below), whose sum is σ = 904621548729600. Its totient is φ = 62353291168000.

The previous prime is 257207326133969. The next prime is 257207326134047. The reversal of 257207326134000 is 431623702752.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1948474350 + ... + 1948606349.

It is an arithmetic number, because the mean of its divisors is an integer number (5653884679560).

Almost surely, 2^{257207326134000} is an apocalyptic number.

257207326134000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257207326134000 is an abundant number, since it is smaller than the sum of its proper divisors (647414222595600).

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

257207326134000 is a wasteful number, since it uses less digits than its factorization.

257207326134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3897080736 (or 3897080720 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

Adding to 257207326134000 its reverse (431623702752), we get a palindrome (257638949836752).

The spelling of 257207326134000 in words is "two hundred fifty-seven trillion, two hundred seven billion, three hundred twenty-six million, one hundred thirty-four thousand".