131552282680 has 256 divisors, whose sum is σ = 368770268160. Its totient is φ = 41126400000.

The previous prime is 131552282657. The next prime is 131552282681. The reversal of 131552282680 is 86282255131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131552282681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125168155 + ... + 125169205.

It is an arithmetic number, because the mean of its divisors is an integer number (1440508860).

Almost surely, 2^131552282680 is an apocalyptic number.

131552282680 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 131552282680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184385134080).

131552282680 is an abundant number, since it is smaller than the sum of its proper divisors (237217985480).

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

131552282680 is a wasteful number, since it uses less digits than its factorization.

131552282680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The spelling of 131552282680 in words is "one hundred thirty-one billion, five hundred fifty-two million, two hundred eighty-two thousand, six hundred eighty".