131118632640 has 336 divisors, whose sum is σ = 467951515200. Its totient is φ = 33657544704.

The previous prime is 131118632629. The next prime is 131118632651. The reversal of 131118632640 is 46236811131.

131118632640 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 1 + 8 + 6 + 3 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (131118632629) and next prime (131118632651).

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 = 131118632595 and 131118632604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29981494 + ... + 29985866.

Almost surely, 2^131118632640 is an apocalyptic number.

131118632640 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 131118632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233975757600).

131118632640 is an abundant number, since it is smaller than the sum of its proper divisors (336832882560).

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

131118632640 is a wasteful number, since it uses less digits than its factorization.

131118632640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4784 (or 4771 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 131118632640 in words is "one hundred thirty-one billion, one hundred eighteen million, six hundred thirty-two thousand, six hundred forty".