152621316 has 81 divisors (see below), whose sum is σ = 405261493. Its totient is φ = 48427680.

The previous prime is 152621297. The next prime is 152621317. The reversal of 152621316 is 613126251.

The square root of 152621316 is 12354.

It is a perfect power (a square), and thus also a powerful number.

152621316 is a `hidden beast` number, since 1 + 5 + 2 + 621 + 31 + 6 = 666.

152621316 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 80030916 + 72590400 = 8946^2 + 8520^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 152621316.

It is not an unprimeable number, because it can be changed into a prime (152621317) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2149561 + ... + 2149631.

Almost surely, 2^152621316 is an apocalyptic number.

152621316 is the 12354-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152621316

152621316 is an abundant number, since it is smaller than the sum of its proper divisors (252640177).

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

152621316 is a wasteful number, since it uses less digits than its factorization.

152621316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 105 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The cubic root of 152621316 is about 534.4064993846.

Adding to 152621316 its reverse (613126251), we get a palindrome (765747567).

The spelling of 152621316 in words is "one hundred fifty-two million, six hundred twenty-one thousand, three hundred sixteen".