150020000 has 120 divisors (see below), whose sum is σ = 398150676. Its totient is φ = 55296000.

The previous prime is 150019993. The next prime is 150020011. The reversal of 150020000 is 20051.

150020000 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 10 ways, for example, as 2446096 + 147573904 = 1564^2 + 12148^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 150020000.

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, 259712 + ... + 260288.

Almost surely, 2^150020000 is an apocalyptic number.

150020000 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 150020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199075338).

150020000 is an abundant number, since it is smaller than the sum of its proper divisors (248130676).

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

150020000 is an equidigital number, since it uses as much as digits as its factorization.

150020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 150020000 is about 12248.2651832821. The cubic root of 150020000 is about 531.3528981767.

Adding to 150020000 its reverse (20051), we get a palindrome (150040051).

The spelling of 150020000 in words is "one hundred fifty million, twenty thousand".