152350016 has 168 divisors, whose sum is σ = 392817096. Its totient is φ = 58060800.

The previous prime is 152350007. The next prime is 152350019. The reversal of 152350016 is 610053251.

It can be written as a sum of positive squares in 4 ways, for example, as 65934400 + 86415616 = 8120^2 + 9296^2 .

It is a junction number, because it is equal to n+sod(n) for n = 152349973 and 152350000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152350019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1508366 + ... + 1508466.

It is an arithmetic number, because the mean of its divisors is an integer number (2338197).

Almost surely, 2^152350016 is an apocalyptic number.

152350016 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 152350016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196408548).

152350016 is an abundant number, since it is smaller than the sum of its proper divisors (240467080).

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

152350016 is a wasteful number, since it uses less digits than its factorization.

152350016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 152350016 is about 12343.0148667171. The cubic root of 152350016 is about 534.0896574994.

The spelling of 152350016 in words is "one hundred fifty-two million, three hundred fifty thousand, sixteen".