151854399225 has 81 divisors (see below), whose sum is σ = 276186925677. Its totient is φ = 79757608320.

The previous prime is 151854399211. The next prime is 151854399247. The reversal of 151854399225 is 522993458151.

The square root of 151854399225 is 389685.

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

151854399225 is a `hidden beast` number, since 1 + 5 + 1 + 8 + 543 + 9 + 92 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 85308973929 + 66545425296 = 292077^2 + 257964^2 .

It is not a de Polignac number, because 151854399225 - 2⁷ = 151854399097 is a prime.

It is a Curzon number.

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 80 ways as a sum of consecutive naturals, for example, 485157669 + ... + 485157981.

Almost surely, 2^151854399225 is an apocalyptic number.

151854399225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

151854399225 is the 389685-th square number.

151854399225 is the 194843-rd centered octagonal number.

It is an amenable number.

151854399225 is a deficient number, since it is larger than the sum of its proper divisors (124332526452).

151854399225 is an frugal number, since it uses more digits than its factorization.

151854399225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 404 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 54.

The spelling of 151854399225 in words is "one hundred fifty-one billion, eight hundred fifty-four million, three hundred ninety-nine thousand, two hundred twenty-five".