131649237225 has 135 divisors (see below), whose sum is σ = 268410528309. Its totient is φ = 63742852800.

The previous prime is 131649237191. The next prime is 131649237229. The reversal of 131649237225 is 522732946131.

It is a happy number.

The square root of 131649237225 is 362835.

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

131649237225 is a `hidden beast` number, since 13 + 164 + 92 + 372 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29775918249 + 101873318976 = 172557^2 + 319176^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 131649237225 - 2²¹ = 131647140073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (131649237229) 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 134 ways as a sum of consecutive naturals, for example, 179602959 + ... + 179603691.

Almost surely, 2^131649237225 is an apocalyptic number.

131649237225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131649237225 is the 362835-th square number.

131649237225 is the 181418-th centered octagonal number.

It is an amenable number.

131649237225 is an abundant number, since it is smaller than the sum of its proper divisors (136761291084).

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

131649237225 is an frugal number, since it uses more digits than its factorization.

131649237225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 752 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 131649237225 in words is "one hundred thirty-one billion, six hundred forty-nine million, two hundred thirty-seven thousand, two hundred twenty-five".