132106500414 has 96 divisors (see below), whose sum is σ = 356211648000. Its totient is φ = 34525092672.

The previous prime is 132106500413. The next prime is 132106500467. The reversal of 132106500414 is 414005601231.

It is a happy number.

132106500414 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 0 + 650 + 0 + 4 + 1 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132106500413) 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 47 ways as a sum of consecutive naturals, for example, 881994 + ... + 1020845.

It is an arithmetic number, because the mean of its divisors is an integer number (3710538000).

Almost surely, 2^132106500414 is an apocalyptic number.

132106500414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

132106500414 is an abundant number, since it is smaller than the sum of its proper divisors (224105147586).

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

132106500414 is a wasteful number, since it uses less digits than its factorization.

132106500414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902902 (or 1902899 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 132106500414 in words is "one hundred thirty-two billion, one hundred six million, five hundred thousand, four hundred fourteen".