150084396 has 144 divisors (see below), whose sum is σ = 489565440. Its totient is φ = 37618560.

The previous prime is 150084391. The next prime is 150084419. The reversal of 150084396 is 693480051.

150084396 = T₁₅₅ + T₁₅₆ + ... + T₉₆₆.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 150084396.

It is not an unprimeable number, because it can be changed into a prime (150084391) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 79455 + ... + 81321.

It is an arithmetic number, because the mean of its divisors is an integer number (3399760).

Almost surely, 2^150084396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150084396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244782720).

150084396 is an abundant number, since it is smaller than the sum of its proper divisors (339481044).

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

150084396 is a wasteful number, since it uses less digits than its factorization.

150084396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 150084396 is about 12250.8936816871. The cubic root of 150084396 is about 531.4289149445.

The spelling of 150084396 in words is "one hundred fifty million, eighty-four thousand, three hundred ninety-six".