150053472 has 144 divisors (see below), whose sum is σ = 462309120. Its totient is φ = 47786112.

The previous prime is 150053467. The next prime is 150053479. The reversal of 150053472 is 274350051.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 (150053479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178429 + ... + 179267.

It is an arithmetic number, because the mean of its divisors is an integer number (3210480).

Almost surely, 2^150053472 is an apocalyptic number.

150053472 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 150053472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231154560).

150053472 is an abundant number, since it is smaller than the sum of its proper divisors (312255648).

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

150053472 is an equidigital number, since it uses as much as digits as its factorization.

150053472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 150053472 is about 12249.6315046617. The cubic root of 150053472 is about 531.3924131783.

The spelling of 150053472 in words is "one hundred fifty million, fifty-three thousand, four hundred seventy-two".