150285672 has 64 divisors (see below), whose sum is σ = 419337600. Its totient is φ = 49870080.

The previous prime is 150285671. The next prime is 150285679. The reversal of 150285672 is 276582051.

It is a happy number.

150285672 is a `hidden beast` number, since 1 + 502 + 85 + 6 + 72 = 666.

150285672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (150285671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50613 + ... + 53499.

It is an arithmetic number, because the mean of its divisors is an integer number (6552150).

Almost surely, 2^150285672 is an apocalyptic number.

150285672 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 150285672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209668800).

150285672 is an abundant number, since it is smaller than the sum of its proper divisors (269051928).

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

150285672 is a wasteful number, since it uses less digits than its factorization.

150285672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3143 (or 3133 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 150285672 is about 12259.1056770060. The cubic root of 150285672 is about 531.6663726879. Note that the first 3 decimals are identical.

The spelling of 150285672 in words is "one hundred fifty million, two hundred eighty-five thousand, six hundred seventy-two".