150199280 has 160 divisors (see below), whose sum is σ = 447828480. Its totient is φ = 45480960.

The previous prime is 150199279. The next prime is 150199289. The reversal of 150199280 is 82991051.

150199280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 150199280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150199289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227591 + ... + 228249.

It is an arithmetic number, because the mean of its divisors is an integer number (2798928).

Almost surely, 2^150199280 is an apocalyptic number.

150199280 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 150199280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223914240).

150199280 is an abundant number, since it is smaller than the sum of its proper divisors (297629200).

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

150199280 is a wasteful number, since it uses less digits than its factorization.

150199280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 35.

The square root of 150199280 is about 12255.5815855471. The cubic root of 150199280 is about 531.5644766904.

The spelling of 150199280 in words is "one hundred fifty million, one hundred ninety-nine thousand, two hundred eighty".