131249696656 has 45 divisors (see below), whose sum is σ = 275401781361. Its totient is φ = 60568088256.

The previous prime is 131249696629. The next prime is 131249696657. The reversal of 131249696656 is 656696942131.

It is a happy number.

The square root of 131249696656 is 362284.

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

It can be written as a sum of positive squares in only one way, i.e., 19415635600 + 111834061056 = 139340^2 + 334416^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131249696656.

It is not an unprimeable number, because it can be changed into a prime (131249696657) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18835285 + ... + 18842251.

Almost surely, 2^131249696656 is an apocalyptic number.

131249696656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

131249696656 is the 362284-th square number.

It is an amenable number.

131249696656 is an abundant number, since it is smaller than the sum of its proper divisors (144152084705).

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

131249696656 is an frugal number, since it uses more digits than its factorization.

131249696656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13968 (or 6982 counting only the distinct ones).

The product of its digits is 12597120, while the sum is 58.

The spelling of 131249696656 in words is "one hundred thirty-one billion, two hundred forty-nine million, six hundred ninety-six thousand, six hundred fifty-six".