131006177280 has 896 divisors, whose sum is σ = 518069779200. Its totient is φ = 31402229760.

The previous prime is 131006177249. The next prime is 131006177303. The reversal of 131006177280 is 82771600131.

131006177280 is a `hidden beast` number, since 1 + 3 + 10 + 0 + 617 + 7 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1471979476 + ... + 1471979564.

Almost surely, 2^131006177280 is an apocalyptic number.

131006177280 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 131006177280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259034889600).

131006177280 is an abundant number, since it is smaller than the sum of its proper divisors (387063601920).

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

131006177280 is an frugal number, since it uses more digits than its factorization.

131006177280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 131006177280 in words is "one hundred thirty-one billion, six million, one hundred seventy-seven thousand, two hundred eighty".