150120000 has 280 divisors, whose sum is σ = 555447200. Its totient is φ = 39744000.

The previous prime is 150119993. The next prime is 150120017. The reversal of 150120000 is 21051.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 39 ways as a sum of consecutive naturals, for example, 1079931 + ... + 1080069.

It is an arithmetic number, because the mean of its divisors is an integer number (1983740).

Almost surely, 2^150120000 is an apocalyptic number.

150120000 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 150120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277723600).

150120000 is an abundant number, since it is smaller than the sum of its proper divisors (405327200).

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

150120000 is an equidigital number, since it uses as much as digits as its factorization.

150120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 150120000 is about 12252.3467139973. The cubic root of 150120000 is about 531.4709346339.

Adding to 150120000 its reverse (21051), we get a palindrome (150141051).

The spelling of 150120000 in words is "one hundred fifty million, one hundred twenty thousand".