131435611461 has 192 divisors, whose sum is σ = 249911101440. Its totient is φ = 64592640000.

The previous prime is 131435611453. The next prime is 131435611471. The reversal of 131435611461 is 164116534131.

131435611461 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 35 + 611 + 4 + 6 + 1 = 666.

It is not a de Polignac number, because 131435611461 - 2³ = 131435611453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131435611471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 218694561 + ... + 218695161.

It is an arithmetic number, because the mean of its divisors is an integer number (1301620320).

Almost surely, 2^131435611461 is an apocalyptic number.

131435611461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131435611461 is a deficient number, since it is larger than the sum of its proper divisors (118475489979).

131435611461 is a wasteful number, since it uses less digits than its factorization.

131435611461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 885 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The spelling of 131435611461 in words is "one hundred thirty-one billion, four hundred thirty-five million, six hundred eleven thousand, four hundred sixty-one".