131755365 has 36 divisors (see below), whose sum is σ = 265666284. Its totient is φ = 60230016.

The previous prime is 131755307. The next prime is 131755369. The reversal of 131755365 is 563557131.

It can be written as a sum of positive squares in 2 ways, for example, as 66048129 + 65707236 = 8127^2 + 8106^2 .

It is not a de Polignac number, because 131755365 - 2¹⁵ = 131722597 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131755369) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 27672 + ... + 32081.

It is an arithmetic number, because the mean of its divisors is an integer number (7379619).

Almost surely, 2^131755365 is an apocalyptic number.

131755365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131755365 is an abundant number, since it is smaller than the sum of its proper divisors (133910919).

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

131755365 is a wasteful number, since it uses less digits than its factorization.

131755365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59778 (or 59768 counting only the distinct ones).

The product of its digits is 47250, while the sum is 36.

The square root of 131755365 is about 11478.4739839405. The cubic root of 131755365 is about 508.8495984676.

The spelling of 131755365 in words is "one hundred thirty-one million, seven hundred fifty-five thousand, three hundred sixty-five".