251241134000 has 80 divisors (see below), whose sum is σ = 611371259616. Its totient is φ = 99856224000.

The previous prime is 251241133999. The next prime is 251241134009. The reversal of 251241134000 is 431142152.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (251241134009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 86066 + ... + 714065.

Almost surely, 2^251241134000 is an apocalyptic number.

251241134000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

251241134000 is an abundant number, since it is smaller than the sum of its proper divisors (360130125616).

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

251241134000 is a wasteful number, since it uses less digits than its factorization.

251241134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800311 (or 800295 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 251241134000 its reverse (431142152), we get a palindrome (251672276152).

The spelling of 251241134000 in words is "two hundred fifty-one billion, two hundred forty-one million, one hundred thirty-four thousand".