251142672 has 40 divisors (see below), whose sum is σ = 707767200. Its totient is φ = 76103680.

The previous prime is 251142637. The next prime is 251142701. The reversal of 251142672 is 276241152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237297 + ... + 238352.

It is an arithmetic number, because the mean of its divisors is an integer number (17694180).

Almost surely, 2^251142672 is an apocalyptic number.

251142672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

251142672 is an abundant number, since it is smaller than the sum of its proper divisors (456624528).

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

251142672 is a wasteful number, since it uses less digits than its factorization.

251142672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475671 (or 475665 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 251142672 is about 15847.4815664824. The cubic root of 251142672 is about 630.9188506950.

The spelling of 251142672 in words is "two hundred fifty-one million, one hundred forty-two thousand, six hundred seventy-two".