131053077792 has 1920 divisors, whose sum is σ = 553246848000. Its totient is φ = 30042980352.

The previous prime is 131053077773. The next prime is 131053077839. The reversal of 131053077792 is 297770350131.

131053077792 is a `hidden beast` number, since 13 + 10 + 530 + 7 + 7 + 7 + 92 = 666.

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 319 ways as a sum of consecutive naturals, for example, 4519071634 + ... + 4519071662.

It is an arithmetic number, because the mean of its divisors is an integer number (288149400).

Almost surely, 2^131053077792 is an apocalyptic number.

131053077792 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 131053077792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276623424000).

131053077792 is an abundant number, since it is smaller than the sum of its proper divisors (422193770208).

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

131053077792 is a wasteful number, since it uses less digits than its factorization.

131053077792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 277830, while the sum is 45.

The spelling of 131053077792 in words is "one hundred thirty-one billion, fifty-three million, seventy-seven thousand, seven hundred ninety-two".