131872278384 has 480 divisors, whose sum is σ = 487852584960. Its totient is φ = 32248627200.

The previous prime is 131872278367. The next prime is 131872278431. The reversal of 131872278384 is 483872278131.

131872278384 is a `hidden beast` number, since 1 + 31 + 8 + 7 + 227 + 8 + 384 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 131872278384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12712752 + ... + 12723120.

It is an arithmetic number, because the mean of its divisors is an integer number (1016359552).

Almost surely, 2^131872278384 is an apocalyptic number.

131872278384 is a gapful number since it is divisible by the number (14) 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 131872278384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243926292480).

131872278384 is an abundant number, since it is smaller than the sum of its proper divisors (355980306576).

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

131872278384 is a wasteful number, since it uses less digits than its factorization.

131872278384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10469 (or 10460 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 131872278384 in words is "one hundred thirty-one billion, eight hundred seventy-two million, two hundred seventy-eight thousand, three hundred eighty-four".