132175889268480 has 720 divisors, whose sum is σ = 501191698392000. Its totient is φ = 33201425940480.

The previous prime is 132175889268391. The next prime is 132175889268503. The reversal of 132175889268480 is 84862988571231.

132175889268480 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 7 + 5 + 8 + 89 + 2 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 132175889268399 and 132175889268408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 122739421 + ... + 123811619.

It is an arithmetic number, because the mean of its divisors is an integer number (696099581100).

It is a 2-persistent number, because it is pandigital, and so is 2⋅132175889268480 = 264351778536960, but 3⋅132175889268480 = 396527667805440 is not.

Almost surely, 2^{132175889268480} is an apocalyptic number.

132175889268480 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 132175889268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250595849196000).

132175889268480 is an abundant number, since it is smaller than the sum of its proper divisors (369015809123520).

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

132175889268480 is a wasteful number, since it uses less digits than its factorization.

132175889268480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072302 (or 1072279 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 72.

The spelling of 132175889268480 in words is "one hundred thirty-two trillion, one hundred seventy-five billion, eight hundred eighty-nine million, two hundred sixty-eight thousand, four hundred eighty".