132234644006100 has 216 divisors, whose sum is σ = 417174218828640. Its totient is φ = 35033695223040.

The previous prime is 132234644006089. The next prime is 132234644006219. The reversal of 132234644006100 is 1600446432231.

132234644006100 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 3 + 4 + 644 + 0 + 0 + 6 + 1 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 413387422 + ... + 413707178.

Almost surely, 2^{132234644006100} is an apocalyptic number.

132234644006100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132234644006100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208587109414320).

132234644006100 is an abundant number, since it is smaller than the sum of its proper divisors (284939574822540).

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

132234644006100 is a wasteful number, since it uses less digits than its factorization.

132234644006100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322759 (or 322749 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 132234644006100 in words is "one hundred thirty-two trillion, two hundred thirty-four billion, six hundred forty-four million, six thousand, one hundred".