150361920 has 140 divisors (see below), whose sum is σ = 534956004. Its totient is φ = 40089600.

The previous prime is 150361891. The next prime is 150361933. The reversal of 150361920 is 29163051.

It can be written as a sum of positive squares in 2 ways, for example, as 112021056 + 38340864 = 10584^2 + 6192^2 .

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 23020 + ... + 28820.

Almost surely, 2^150361920 is an apocalyptic number.

150361920 is a gapful number since it is divisible by the number (10) 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 150361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267478002).

150361920 is an abundant number, since it is smaller than the sum of its proper divisors (384594084).

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

150361920 is an equidigital number, since it uses as much as digits as its factorization.

150361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5830 (or 5811 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 150361920 is about 12262.2151343059. The cubic root of 150361920 is about 531.7562717963.

The spelling of 150361920 in words is "one hundred fifty million, three hundred sixty-one thousand, nine hundred twenty".