131978778912 has 54 divisors (see below), whose sum is σ = 375332185683. Its totient is φ = 43990871232.

The previous prime is 131978778901. The next prime is 131978778913. The reversal of 131978778912 is 219877879131.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 65989389456 + 65989389456 = 256884^2 + 256884^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=256884.

It is a self number, because there is not a number n which added to its sum of digits gives 131978778912.

It is not an unprimeable number, because it can be changed into a prime (131978778913) 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 8 ways as a sum of consecutive naturals, for example, 6154513 + ... + 6175919.

Almost surely, 2^131978778912 is an apocalyptic number.

131978778912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131978778912 is an abundant number, since it is smaller than the sum of its proper divisors (243353406771).

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

131978778912 is an frugal number, since it uses more digits than its factorization.

131978778912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42830 (or 21412 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 63.

The spelling of 131978778912 in words is "one hundred thirty-one billion, nine hundred seventy-eight million, seven hundred seventy-eight thousand, nine hundred twelve".