151225800968 has 108 divisors (see below), whose sum is σ = 323537335485. Its totient is φ = 66214702400.

The previous prime is 151225800959. The next prime is 151225801009. The reversal of 151225800968 is 869008522151.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 151135892644 + 89908324 = 388762^2 + 9482^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=274978.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 350871713 + ... + 350872143.

Almost surely, 2^151225800968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151225800968

151225800968 is an abundant number, since it is smaller than the sum of its proper divisors (172311534517).

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

151225800968 is an equidigital number, since it uses as much as digits as its factorization.

151225800968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 47.

The spelling of 151225800968 in words is "one hundred fifty-one billion, two hundred twenty-five million, eight hundred thousand, nine hundred sixty-eight".