131352405 has 32 divisors (see below), whose sum is σ = 216822528. Its totient is φ = 67852800.

The previous prime is 131352371. The next prime is 131352407. The reversal of 131352405 is 504253131.

It is not a de Polignac number, because 131352405 - 2¹² = 131348309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131352407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172225 + ... + 172985.

It is an arithmetic number, because the mean of its divisors is an integer number (6775704).

Almost surely, 2^131352405 is an apocalyptic number.

131352405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131352405 is a deficient number, since it is larger than the sum of its proper divisors (85470123).

131352405 is a wasteful number, since it uses less digits than its factorization.

131352405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 131352405 is about 11460.9076865665. The cubic root of 131352405 is about 508.3303142942.

The spelling of 131352405 in words is "one hundred thirty-one million, three hundred fifty-two thousand, four hundred five".