152216645187321 has 81 divisors (see below), whose sum is σ = 261703027054287. Its totient is φ = 85153204113120.

The previous prime is 152216645187293. The next prime is 152216645187353. The reversal of 152216645187321 is 123781546612251.

The square root of 152216645187321 is 12337611.

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

152216645187321 is a `hidden beast` number, since 1 + 5 + 2 + 2 + 166 + 451 + 8 + 7 + 3 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22517255205225 + 129699389982096 = 4745235^2 + 11388564^2 .

It is not a de Polignac number, because 152216645187321 - 2¹⁷ = 152216645056249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (152216645187721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5292820740 + ... + 5292849498.

Almost surely, 2^{152216645187321} is an apocalyptic number.

152216645187321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

152216645187321 is the 12337611-st square number.

152216645187321 is the 6168806-th centered octagonal number.

It is an amenable number.

152216645187321 is a deficient number, since it is larger than the sum of its proper divisors (109486381866966).

152216645187321 is an frugal number, since it uses more digits than its factorization.

152216645187321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57572 (or 28786 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 152216645187321 in words is "one hundred fifty-two trillion, two hundred sixteen billion, six hundred forty-five million, one hundred eighty-seven thousand, three hundred twenty-one".