132940342080 has 672 divisors, whose sum is σ = 565830720000. Its totient is φ = 27897053184.

The previous prime is 132940342043. The next prime is 132940342133. The reversal of 132940342080 is 80243049231.

132940342080 is a `hidden beast` number, since 132 + 9 + 403 + 42 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52152646 + ... + 52155194.

It is an arithmetic number, because the mean of its divisors is an integer number (842010000).

Almost surely, 2^132940342080 is an apocalyptic number.

132940342080 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 132940342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282915360000).

132940342080 is an abundant number, since it is smaller than the sum of its proper divisors (432890377920).

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

132940342080 is a wasteful number, since it uses less digits than its factorization.

132940342080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 132940342080 in words is "one hundred thirty-two billion, nine hundred forty million, three hundred forty-two thousand, eighty".