131577765464 has 8 divisors (see below), whose sum is σ = 246708310260. Its totient is φ = 65788882728.

The previous prime is 131577765463. The next prime is 131577765481. The reversal of 131577765464 is 464567775131.

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-3 number, since 3×131577765464³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131577765461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8223610334 + ... + 8223610349.

Almost surely, 2^131577765464 is an apocalyptic number.

It is an amenable number.

131577765464 is a deficient number, since it is larger than the sum of its proper divisors (115130544796).

131577765464 is a wasteful number, since it uses less digits than its factorization.

131577765464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16447220689 (or 16447220685 counting only the distinct ones).

The product of its digits is 14817600, while the sum is 56.

The spelling of 131577765464 in words is "one hundred thirty-one billion, five hundred seventy-seven million, seven hundred sixty-five thousand, four hundred sixty-four".