131989796416 has 21 divisors (see below), whose sum is σ = 261923019841. Its totient is φ = 65993444992.

The previous prime is 131989796383. The next prime is 131989796417. The reversal of 131989796416 is 614697989131.

The square root of 131989796416 is 363304.

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., 1304654400 + 130685142016 = 36120^2 + 361504^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131989796417) 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 in 2 ways as a sum of consecutive naturals, for example, 2883726 + ... + 2929138.

Almost surely, 2^131989796416 is an apocalyptic number.

131989796416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

131989796416 is the 363304-th square number.

It is an amenable number.

131989796416 is a deficient number, since it is larger than the sum of its proper divisors (129933223425).

131989796416 is an frugal number, since it uses more digits than its factorization.

131989796416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90838 (or 45415 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 64.

Multiplying 131989796416 by its sum of digits (64), we get a square (8447346970624 = 2906432²).

131989796416 divided by its sum of digits (64) gives a square (2062340569 = 45413²).

The spelling of 131989796416 in words is "one hundred thirty-one billion, nine hundred eighty-nine million, seven hundred ninety-six thousand, four hundred sixteen".