131351777280 has 260 divisors, whose sum is σ = 470868907212. Its totient is φ = 35026698240.

The previous prime is 131351777273. The next prime is 131351777281. The reversal of 131351777280 is 82777153131.

131351777280 is a `hidden beast` number, since 1 + 313 + 51 + 7 + 7 + 7 + 280 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55228760064 + 76123017216 = 235008^2 + 275904^2 .

It is a super-2 number, since 2×131351777280² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (131351777281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1619290 + ... + 1698470.

Almost surely, 2^131351777280 is an apocalyptic number.

131351777280 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 131351777280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235434453606).

131351777280 is an abundant number, since it is smaller than the sum of its proper divisors (339517129932).

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

131351777280 is an frugal number, since it uses more digits than its factorization.

131351777280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79222 (or 79191 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 131351777280 in words is "one hundred thirty-one billion, three hundred fifty-one million, seven hundred seventy-seven thousand, two hundred eighty".