131664414 has 64 divisors (see below), whose sum is σ = 319334400. Its totient is φ = 35352288.

The previous prime is 131664367. The next prime is 131664419. The reversal of 131664414 is 414466131.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131664419) 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, 110329 + ... + 111515.

It is an arithmetic number, because the mean of its divisors is an integer number (4989600).

Almost surely, 2^131664414 is an apocalyptic number.

131664414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131664414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159667200).

131664414 is an abundant number, since it is smaller than the sum of its proper divisors (187669986).

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

131664414 is a wasteful number, since it uses less digits than its factorization.

131664414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357.

The product of its digits is 6912, while the sum is 30.

The square root of 131664414 is about 11474.5114928698. The cubic root of 131664414 is about 508.7324848733.

The spelling of 131664414 in words is "one hundred thirty-one million, six hundred sixty-four thousand, four hundred fourteen".