131289679440 has 200 divisors, whose sum is σ = 482811765480. Its totient is φ = 32951107584.

The previous prime is 131289679421. The next prime is 131289679441. The reversal of 131289679440 is 44976982131.

131289679440 is a `hidden beast` number, since 1 + 3 + 128 + 9 + 6 + 79 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12024438336 + 119265241104 = 109656^2 + 345348^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131289679441) 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 39 ways as a sum of consecutive naturals, for example, 485745 + ... + 706064.

Almost surely, 2^131289679440 is an apocalyptic number.

131289679440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131289679440 is an abundant number, since it is smaller than the sum of its proper divisors (351522086040).

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

131289679440 is a wasteful number, since it uses less digits than its factorization.

131289679440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191851 (or 1191836 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 131289679440 in words is "one hundred thirty-one billion, two hundred eighty-nine million, six hundred seventy-nine thousand, four hundred forty".