150368672 has 48 divisors (see below), whose sum is σ = 314943552. Its totient is φ = 70425600.

The previous prime is 150368653. The next prime is 150368711. The reversal of 150368672 is 276863051.

It is a super-2 number, since 2×150368672² = 45221475038087168, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 142547 + ... + 143597.

It is an arithmetic number, because the mean of its divisors is an integer number (6561324).

Almost surely, 2^150368672 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 150368672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157471776).

150368672 is an abundant number, since it is smaller than the sum of its proper divisors (164574880).

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

150368672 is a wasteful number, since it uses less digits than its factorization.

150368672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 150368672 is about 12262.4904485182. The cubic root of 150368672 is about 531.7642311799.

The spelling of 150368672 in words is "one hundred fifty million, three hundred sixty-eight thousand, six hundred seventy-two".