131777568 has 144 divisors (see below), whose sum is σ = 410895576. Its totient is φ = 39813120.

The previous prime is 131777563. The next prime is 131777573. The reversal of 131777568 is 865777131.

131777568 is a `hidden beast` number, since 1 + 3 + 17 + 77 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (131777563) and next prime (131777573).

It can be written as a sum of positive squares in 4 ways, for example, as 97061904 + 34715664 = 9852^2 + 5892^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (131777561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228096 + ... + 228672.

Almost surely, 2^131777568 is an apocalyptic number.

131777568 is a gapful number since it is divisible by the number (18) 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 131777568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205447788).

131777568 is an abundant number, since it is smaller than the sum of its proper divisors (279118008).

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

131777568 is a wasteful number, since it uses less digits than its factorization.

131777568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 656 counting only the distinct ones).

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

The square root of 131777568 is about 11479.4411013777. The cubic root of 131777568 is about 508.8781801071.

The spelling of 131777568 in words is "one hundred thirty-one million, seven hundred seventy-seven thousand, five hundred sixty-eight".