131786252640 has 1536 divisors, whose sum is σ = 588349440000. Its totient is φ = 27433728000.

The previous prime is 131786252623. The next prime is 131786252669. The reversal of 131786252640 is 46252687131.

131786252640 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 86 + 2 + 526 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 872756565 + ... + 872756715.

It is an arithmetic number, because the mean of its divisors is an integer number (383040000).

Almost surely, 2^131786252640 is an apocalyptic number.

131786252640 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 131786252640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294174720000).

131786252640 is an abundant number, since it is smaller than the sum of its proper divisors (456563187360).

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

131786252640 is a wasteful number, since it uses less digits than its factorization.

131786252640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 131786252640 in words is "one hundred thirty-one billion, seven hundred eighty-six million, two hundred fifty-two thousand, six hundred forty".