131888817225 has 243 divisors, whose sum is σ = 272133325191. Its totient is φ = 61011720000.

The previous prime is 131888817211. The next prime is 131888817251. The reversal of 131888817225 is 522718888131.

The square root of 131888817225 is 363165.

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., 47479974201 + 84408843024 = 217899^2 + 290532^2 .

It is not a de Polignac number, because 131888817225 - 2¹⁵ = 131888784457 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1857588940 + ... + 1857589010.

Almost surely, 2^131888817225 is an apocalyptic number.

131888817225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131888817225 is the 363165-th square number.

131888817225 is the 181583-rd centered octagonal number.

It is an amenable number.

131888817225 is an abundant number, since it is smaller than the sum of its proper divisors (140244507966).

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

131888817225 is a wasteful number, since it uses less digits than its factorization.

131888817225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 121 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 54.

The spelling of 131888817225 in words is "one hundred thirty-one billion, eight hundred eighty-eight million, eight hundred seventeen thousand, two hundred twenty-five".