131467436105625 has 45 divisors (see below), whose sum is σ = 237297352862713. Its totient is φ = 70115507286000.

The previous prime is 131467436105549. The next prime is 131467436105651. The reversal of 131467436105625 is 526501634764131.

The square root of 131467436105625 is 11465925.

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

131467436105625 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 6 + 7 + 4 + 3 + 6 + 1 + 0 + 5 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10307046990681 + 121160389114944 = 3210459^2 + 11007288^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 131467436105625 - 2⁴⁵ = 96283064016793 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 859867936 + ... + 860020814.

Almost surely, 2^{131467436105625} is an apocalyptic number.

131467436105625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131467436105625 is the 11465925-th square number.

131467436105625 is the 5732963-rd centered octagonal number.

It is an amenable number.

131467436105625 is a deficient number, since it is larger than the sum of its proper divisors (105829916757088).

131467436105625 is an frugal number, since it uses more digits than its factorization.

131467436105625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305784 (or 152887 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 131467436105625 in words is "one hundred thirty-one trillion, four hundred sixty-seven billion, four hundred thirty-six million, one hundred five thousand, six hundred twenty-five".