131187019392 has 640 divisors, whose sum is σ = 482907902400. Its totient is φ = 34756853760.

The previous prime is 131187019387. The next prime is 131187019421. The reversal of 131187019392 is 293910781131.

It is a happy 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 79 ways as a sum of consecutive naturals, for example, 28167528 + ... + 28172184.

Almost surely, 2^131187019392 is an apocalyptic number.

131187019392 is a gapful number since it is divisible by the number (12) 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 131187019392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241453951200).

131187019392 is an abundant number, since it is smaller than the sum of its proper divisors (351720883008).

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

131187019392 is a wasteful number, since it uses less digits than its factorization.

131187019392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4726 (or 4705 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 131187019392 in words is "one hundred thirty-one billion, one hundred eighty-seven million, nineteen thousand, three hundred ninety-two".