131611477645 has 8 divisors (see below), whose sum is σ = 157935749400. Its totient is φ = 105287864640.

The previous prime is 131611477643. The next prime is 131611477667. The reversal of 131611477645 is 546774116131.

It can be written as a sum of positive squares in 4 ways, for example, as 1966833801 + 129644643844 = 44349^2 + 360062^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 131611477645 - 2¹ = 131611477643 is a prime.

It is a super-3 number, since 3×131611477645³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131611477595 and 131611477604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131611477643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 585631 + ... + 778579.

It is an arithmetic number, because the mean of its divisors is an integer number (19741968675).

Almost surely, 2^131611477645 is an apocalyptic number.

It is an amenable number.

131611477645 is a deficient number, since it is larger than the sum of its proper divisors (26324271755).

131611477645 is a wasteful number, since it uses less digits than its factorization.

131611477645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329375.

The product of its digits is 423360, while the sum is 46.

The spelling of 131611477645 in words is "one hundred thirty-one billion, six hundred eleven million, four hundred seventy-seven thousand, six hundred forty-five".