152187135052225 has 243 divisors, whose sum is σ = 251052764826537. Its totient is φ = 91195516863360.

The previous prime is 152187135052207. The next prime is 152187135052259. The reversal of 152187135052225 is 522250531781251.

The square root of 152187135052225 is 12336415.

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

It can be written as a sum of positive squares in 4 ways, for example, as 39226459188609 + 112960675863616 = 6263103^2 + 10628296^2 .

It is not a de Polignac number, because 152187135052225 - 2⁷ = 152187135052097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

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 242 ways as a sum of consecutive naturals, for example, 106648306962 + ... + 106648308388.

Almost surely, 2^{152187135052225} is an apocalyptic number.

152187135052225 is the 12336415-th square number.

152187135052225 is the 6168208-th centered octagonal number.

It is an amenable number.

152187135052225 is a deficient number, since it is larger than the sum of its proper divisors (98865629774312).

152187135052225 is an equidigital number, since it uses as much as digits as its factorization.

152187135052225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2942 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 49.

152187135052225 divided by its sum of digits (49) gives a square (3105859899025 = 1762345²).

The spelling of 152187135052225 in words is "one hundred fifty-two trillion, one hundred eighty-seven billion, one hundred thirty-five million, fifty-two thousand, two hundred twenty-five".