131278112640 has 640 divisors, whose sum is σ = 499744365120. Its totient is φ = 32726384640.

The previous prime is 131278112611. The next prime is 131278112687. The reversal of 131278112640 is 46211872131.

131278112640 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 7 + 8 + 1 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 131278112595 and 131278112604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 159511269 + ... + 159512091.

Almost surely, 2^131278112640 is an apocalyptic number.

131278112640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131278112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249872182560).

131278112640 is an abundant number, since it is smaller than the sum of its proper divisors (368466252480).

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

131278112640 is a wasteful number, since it uses less digits than its factorization.

131278112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 131278112640 its reverse (46211872131), we get a palindrome (177489984771).

The spelling of 131278112640 in words is "one hundred thirty-one billion, two hundred seventy-eight million, one hundred twelve thousand, six hundred forty".