131778 has 12 divisors (see below), whose sum is σ = 285558. Its totient is φ = 43920.

The previous prime is 131777. The next prime is 131779. The reversal of 131778 is 877131.

131778 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (131777) and next prime (131779).

It can be written as a sum of positive squares in only one way, i.e., 131769 + 9 = 363^2 + 3^2 .

It is not an unprimeable number, because it can be changed into a prime (131771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3643 + ... + 3678.

2¹³¹⁷⁷⁸ is an apocalyptic number.

131778 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

131778 is an abundant number, since it is smaller than the sum of its proper divisors (153780).

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

131778 is a wasteful number, since it uses less digits than its factorization.

131778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7329 (or 7326 counting only the distinct ones).

The product of its digits is 1176, while the sum is 27.

The square root of 131778 is about 363.0123964825. The cubic root of 131778 is about 50.8878736183.

It can be divided in two parts, 131 and 778, that added together give a palindrome (909).

The spelling of 131778 in words is "one hundred thirty-one thousand, seven hundred seventy-eight".