151968672 has 144 divisors (see below), whose sum is σ = 449729280. Its totient is φ = 48646656.

The previous prime is 151968667. The next prime is 151968697. The reversal of 151968672 is 276869151.

151968672 is a `hidden beast` number, since 1 + 519 + 68 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1394154 + ... + 1394262.

It is an arithmetic number, because the mean of its divisors is an integer number (3123120).

Almost surely, 2^151968672 is an apocalyptic number.

151968672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151968672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224864640).

151968672 is an abundant number, since it is smaller than the sum of its proper divisors (297760608).

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

151968672 is a wasteful number, since it uses less digits than its factorization.

151968672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 264 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 151968672 is about 12327.5574222958. The cubic root of 151968672 is about 533.6436624502.

The spelling of 151968672 in words is "one hundred fifty-one million, nine hundred sixty-eight thousand, six hundred seventy-two".