131451705 has 96 divisors (see below), whose sum is σ = 289336320. Its totient is φ = 53619840.

The previous prime is 131451703. The next prime is 131451707. The reversal of 131451705 is 507154131.

It is an interprime number because it is at equal distance from previous prime (131451703) and next prime (131451707).

It is not a de Polignac number, because 131451705 - 2¹ = 131451703 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131451703) 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 95 ways as a sum of consecutive naturals, for example, 204114 + ... + 204756.

It is an arithmetic number, because the mean of its divisors is an integer number (3013920).

Almost surely, 2^131451705 is an apocalyptic number.

131451705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131451705 is an abundant number, since it is smaller than the sum of its proper divisors (157884615).

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

131451705 is a wasteful number, since it uses less digits than its factorization.

131451705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 131451705 is about 11465.2389857342. The cubic root of 131451705 is about 508.4583781481.

The spelling of 131451705 in words is "one hundred thirty-one million, four hundred fifty-one thousand, seven hundred five".