132032214414100 has 144 divisors (see below), whose sum is σ = 384684628358016. Its totient is φ = 37987290432000.

The previous prime is 132032214414053. The next prime is 132032214414179. The reversal of 132032214414100 is 1414412230231.

It is a happy number.

132032214414100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 659401471 + ... + 659601670.

It is an arithmetic number, because the mean of its divisors is an integer number (2671421030264).

Almost surely, 2^{132032214414100} is an apocalyptic number.

132032214414100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132032214414100 is an abundant number, since it is smaller than the sum of its proper divisors (252652413943916).

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

132032214414100 is a wasteful number, since it uses less digits than its factorization.

132032214414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319003186 (or 1319003179 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 132032214414100 its reverse (1414412230231), we get a palindrome (133446626644331).

The spelling of 132032214414100 in words is "one hundred thirty-two trillion, thirty-two billion, two hundred fourteen million, four hundred fourteen thousand, one hundred".