131464202688 has 840 divisors, whose sum is σ = 500619241584. Its totient is φ = 33791385600.

The previous prime is 131464202687. The next prime is 131464202707. The reversal of 131464202688 is 886202464131.

131464202688 is a `hidden beast` number, since 1 + 3 + 146 + 420 + 2 + 6 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131464202687) 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 119 ways as a sum of consecutive naturals, for example, 135390043 + ... + 135391013.

Almost surely, 2^131464202688 is an apocalyptic number.

131464202688 is a gapful number since it is divisible by the number (18) 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 131464202688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250309620792).

131464202688 is an abundant number, since it is smaller than the sum of its proper divisors (369155038896).

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

131464202688 is a wasteful number, since it uses less digits than its factorization.

131464202688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 131464202688 in words is "one hundred thirty-one billion, four hundred sixty-four million, two hundred two thousand, six hundred eighty-eight".