150442272 has 84 divisors (see below), whose sum is σ = 444140550. Its totient is φ = 50139648.

The previous prime is 150442261. The next prime is 150442273. The reversal of 150442272 is 272244051.

150442272 is a `hidden beast` number, since 150 + 442 + 2 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 88284816 + 62157456 = 9396^2 + 7884^2 .

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 (150442273) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 20104 + ... + 26552.

Almost surely, 2^150442272 is an apocalyptic number.

150442272 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 150442272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222070275).

150442272 is an abundant number, since it is smaller than the sum of its proper divisors (293698278).

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

150442272 is an frugal number, since it uses more digits than its factorization.

150442272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6477 (or 6454 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 150442272 is about 12265.4911030908. The cubic root of 150442272 is about 531.8509767834.

The spelling of 150442272 in words is "one hundred fifty million, four hundred forty-two thousand, two hundred seventy-two".