132161968280160 has 6144 divisors, whose sum is σ = 646119161856000. Its totient is φ = 24463569715200.

The previous prime is 132161968280119. The next prime is 132161968280197. The reversal of 132161968280160 is 61082869161231.

It is a happy number.

132161968280160 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 619 + 6 + 8 + 2 + 8 + 0 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 132161968280097 and 132161968280106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 577126498926 + ... + 577126499154.

It is an arithmetic number, because the mean of its divisors is an integer number (105162624000).

Almost surely, 2^{132161968280160} is an apocalyptic number.

132161968280160 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 132161968280160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323059580928000).

132161968280160 is an abundant number, since it is smaller than the sum of its proper divisors (513957193575840).

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

132161968280160 is a wasteful number, since it uses less digits than its factorization.

132161968280160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 132161968280160 in words is "one hundred thirty-two trillion, one hundred sixty-one billion, nine hundred sixty-eight million, two hundred eighty thousand, one hundred sixty".