132219381679000 has 384 divisors, whose sum is σ = 409762388805120. Its totient is φ = 38787038976000.

The previous prime is 132219381678997. The next prime is 132219381679003. The reversal of 132219381679000 is 976183912231.

It is an interprime number because it is at equal distance from previous prime (132219381678997) and next prime (132219381679003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132219381679003) 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 95 ways as a sum of consecutive naturals, for example, 19282179 + ... + 25223821.

It is an arithmetic number, because the mean of its divisors is an integer number (1067089554180).

Almost surely, 2^{132219381679000} is an apocalyptic number.

132219381679000 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 132219381679000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204881194402560).

132219381679000 is an abundant number, since it is smaller than the sum of its proper divisors (277543007126120).

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

132219381679000 is a wasteful number, since it uses less digits than its factorization.

132219381679000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5941716 (or 5941685 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 52.

The spelling of 132219381679000 in words is "one hundred thirty-two trillion, two hundred nineteen billion, three hundred eighty-one million, six hundred seventy-nine thousand".