132171684888960 has 896 divisors, whose sum is σ = 499769084044800. Its totient is φ = 33317588570112.

The previous prime is 132171684888953. The next prime is 132171684888967. The reversal of 132171684888960 is 69888486171231.

It is a happy number.

132171684888960 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 7 + 1 + 6 + 8 + 488 + 89 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (132171684888953) and next prime (132171684888967).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132171684888967) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4104312219 + ... + 4104344421.

Almost surely, 2^{132171684888960} is an apocalyptic number.

132171684888960 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 132171684888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249884542022400).

132171684888960 is an abundant number, since it is smaller than the sum of its proper divisors (367597399155840).

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

132171684888960 is an equidigital number, since it uses as much as digits as its factorization.

132171684888960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32722 (or 32695 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 72.

The spelling of 132171684888960 in words is "one hundred thirty-two trillion, one hundred seventy-one billion, six hundred eighty-four million, eight hundred eighty-eight thousand, nine hundred sixty".