150206976 has 120 divisors (see below), whose sum is σ = 445729284. Its totient is φ = 48660480.

The previous prime is 150206957. The next prime is 150206977. The reversal of 150206976 is 679602051.

It can be written as a sum of positive squares in 2 ways, for example, as 149817600 + 389376 = 12240^2 + 624^2 .

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 150206976.

It is not an unprimeable number, because it can be changed into a prime (150206977) 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 11 ways as a sum of consecutive naturals, for example, 170056 + ... + 170936.

Almost surely, 2^150206976 is an apocalyptic number.

150206976 is a gapful number since it is divisible by the number (16) 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 150206976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222864642).

150206976 is an abundant number, since it is smaller than the sum of its proper divisors (295522308).

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

150206976 is an equidigital number, since it uses as much as digits as its factorization.

150206976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 150206976 is about 12255.8955609127. The cubic root of 150206976 is about 531.5735554075.

The spelling of 150206976 in words is "one hundred fifty million, two hundred six thousand, nine hundred seventy-six".