131755261 has 16 divisors (see below), whose sum is σ = 148838400. Its totient is φ = 115577280.

The previous prime is 131755259. The next prime is 131755307. The reversal of 131755261 is 162557131.

It is a 4-Lehmer number, since φ(131755261) divides (131755261-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 131755261 - 2¹ = 131755259 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131755061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50415 + ... + 52963.

It is an arithmetic number, because the mean of its divisors is an integer number (9302400).

Almost surely, 2^131755261 is an apocalyptic number.

131755261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131755261 is the 6136-th centered heptagonal number.

It is an amenable number.

131755261 is a deficient number, since it is larger than the sum of its proper divisors (17083139).

131755261 is a wasteful number, since it uses less digits than its factorization.

131755261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724.

The product of its digits is 6300, while the sum is 31.

The square root of 131755261 is about 11478.4694537207. The cubic root of 131755261 is about 508.8494645821.

The spelling of 131755261 in words is "one hundred thirty-one million, seven hundred fifty-five thousand, two hundred sixty-one".