150604272 has 200 divisors, whose sum is σ = 536903136. Its totient is φ = 39688704.

The previous prime is 150604271. The next prime is 150604331. The reversal of 150604272 is 272406051.

150604272 is a `hidden beast` number, since 1 + 50 + 604 + 2 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150604271) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 117298 + ... + 118574.

Almost surely, 2^150604272 is an apocalyptic number.

150604272 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 150604272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268451568).

150604272 is an abundant number, since it is smaller than the sum of its proper divisors (386298864).

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

150604272 is a wasteful number, since it uses less digits than its factorization.

150604272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 150604272 is about 12272.0932199849. The cubic root of 150604272 is about 532.0418117778.

The spelling of 150604272 in words is "one hundred fifty million, six hundred four thousand, two hundred seventy-two".