131664735 has 24 divisors (see below), whose sum is σ = 233788464. Its totient is φ = 68507520.

The previous prime is 131664733. The next prime is 131664739. The reversal of 131664735 is 537466131.

131664735 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 647 + 3 + 5 = 666.

It is not a de Polignac number, because 131664735 - 2¹ = 131664733 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 131664735.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131664733) 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 23 ways as a sum of consecutive naturals, for example, 33837 + ... + 37526.

It is an arithmetic number, because the mean of its divisors is an integer number (9741186).

Almost surely, 2^131664735 is an apocalyptic number.

131664735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131664735 is a deficient number, since it is larger than the sum of its proper divisors (102123729).

131664735 is a wasteful number, since it uses less digits than its factorization.

131664735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71415 (or 71412 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 131664735 is about 11474.5254803848. The cubic root of 131664735 is about 508.7328983057.

The spelling of 131664735 in words is "one hundred thirty-one million, six hundred sixty-four thousand, seven hundred thirty-five".