152415283216 has 135 divisors (see below), whose sum is σ = 350120834973. Its totient is φ = 64088720640.

The previous prime is 152415283199. The next prime is 152415283217. The reversal of 152415283216 is 612382514251.

It is a happy number.

The square root of 152415283216 is 390404.

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

It can be written as a sum of positive squares in only one way, i.e., 86518339600 + 65896943616 = 294140^2 + 256704^2 .

It is not an unprimeable number, because it can be changed into a prime (152415283217) 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, 797985681 + ... + 797985871.

Almost surely, 2^152415283216 is an apocalyptic number.

152415283216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

152415283216 is the 390404-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152415283216

152415283216 is an abundant number, since it is smaller than the sum of its proper divisors (197705551757).

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

152415283216 is an frugal number, since it uses more digits than its factorization.

152415283216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 273 counting only the distinct ones).

The product of its digits is 115200, while the sum is 40.

Adding to 152415283216 its reverse (612382514251), we get a palindrome (764797797467).

The spelling of 152415283216 in words is "one hundred fifty-two billion, four hundred fifteen million, two hundred eighty-three thousand, two hundred sixteen".