150306156 has 288 divisors, whose sum is σ = 527374848. Its totient is φ = 34836480.

The previous prime is 150306139. The next prime is 150306187. The reversal of 150306156 is 651603051.

It is a happy number.

150306156 is a `hidden beast` number, since 1 + 503 + 0 + 6 + 156 = 666.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1549500 + ... + 1549596.

Almost surely, 2^150306156 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 150306156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263687424).

150306156 is an abundant number, since it is smaller than the sum of its proper divisors (377068692).

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

150306156 is a wasteful number, since it uses less digits than its factorization.

150306156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 150306156 is about 12259.9411091571. The cubic root of 150306156 is about 531.6905270402.

The spelling of 150306156 in words is "one hundred fifty million, three hundred six thousand, one hundred fifty-six".