150213382272 has 216 divisors, whose sum is σ = 456962616045. Its totient is φ = 47356876800.

The previous prime is 150213382213. The next prime is 150213382279. The reversal of 150213382272 is 272283312051.

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.

150213382272 is a `hidden beast` number, since 1 + 5 + 0 + 2 + 1 + 3 + 382 + 272 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 130101604416 + 20111777856 = 360696^2 + 141816^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=274056.

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 (150213382279) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 249938772 + ... + 249939372.

Almost surely, 2^150213382272 is an apocalyptic number.

150213382272 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 150213382272

150213382272 is an abundant number, since it is smaller than the sum of its proper divisors (306749233773).

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

150213382272 is an frugal number, since it uses more digits than its factorization.

150213382272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 150213382272 in words is "one hundred fifty billion, two hundred thirteen million, three hundred eighty-two thousand, two hundred seventy-two".