150082816 has 54 divisors (see below), whose sum is σ = 324490110. Its totient is φ = 69249024.

The previous prime is 150082799. The next prime is 150082819. The reversal of 150082816 is 618280051.

It can be written as a sum of positive squares in 3 ways, for example, as 13660416 + 136422400 = 3696^2 + 11680^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150082819) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41530 + ... + 44998.

Almost surely, 2^150082816 is an apocalyptic number.

150082816 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 150082816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162245055).

150082816 is an abundant number, since it is smaller than the sum of its proper divisors (174407294).

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

150082816 is an equidigital number, since it uses as much as digits as its factorization.

150082816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 31.

The square root of 150082816 is about 12250.8291964258. The cubic root of 150082816 is about 531.4270500813.

The spelling of 150082816 in words is "one hundred fifty million, eighty-two thousand, eight hundred sixteen".