150032000 has 64 divisors (see below), whose sum is σ = 373056840. Its totient is φ = 60006400.

The previous prime is 150031969. The next prime is 150032023. The reversal of 150032000 is 230051.

150032000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 17505856 + 132526144 = 4184^2 + 11512^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11312 + ... + 20688.

Almost surely, 2^150032000 is an apocalyptic number.

150032000 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 150032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186528420).

150032000 is an abundant number, since it is smaller than the sum of its proper divisors (223024840).

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

150032000 is an frugal number, since it uses more digits than its factorization.

150032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9406 (or 9384 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 150032000 is about 12248.7550387784. The cubic root of 150032000 is about 531.3670653206.

Adding to 150032000 its reverse (230051), we get a palindrome (150262051).

The spelling of 150032000 in words is "one hundred fifty million, thirty-two thousand".