150978816 has 126 divisors (see below), whose sum is σ = 452403630. Its totient is φ = 50264064.

The previous prime is 150978811. The next prime is 150978823. The reversal of 150978816 is 618879051.

It can be written as a sum of positive squares in only one way, i.e., 146313216 + 4665600 = 12096^2 + 2160^2 .

It is not an unprimeable number, because it can be changed into a prime (150978811) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 186220 + ... + 187028.

It is an arithmetic number, because the mean of its divisors is an integer number (3590505).

Almost surely, 2^150978816 is an apocalyptic number.

150978816 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 150978816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226201815).

150978816 is an abundant number, since it is smaller than the sum of its proper divisors (301424814).

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

150978816 is an frugal number, since it uses more digits than its factorization.

150978816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 150978816 is about 12287.3437324753. The cubic root of 150978816 is about 532.4824989289.

The spelling of 150978816 in words is "one hundred fifty million, nine hundred seventy-eight thousand, eight hundred sixteen".