132329905385040 has 480 divisors, whose sum is σ = 486631816070400. Its totient is φ = 31959534919680.

The previous prime is 132329905385017. The next prime is 132329905385053. The reversal of 132329905385040 is 40583509923231.

132329905385040 is a `hidden beast` number, since 1 + 3 + 23 + 29 + 90 + 5 + 3 + 8 + 504 + 0 = 666.

It is a super-2 number, since 2×132329905385040² (a number of 29 digits) contains 22 as substring.

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, 2640289101 + ... + 2640339219.

It is an arithmetic number, because the mean of its divisors is an integer number (1013816283480).

Almost surely, 2^{132329905385040} is an apocalyptic number.

132329905385040 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 132329905385040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243315908035200).

132329905385040 is an abundant number, since it is smaller than the sum of its proper divisors (354301910685360).

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

132329905385040 is a wasteful number, since it uses less digits than its factorization.

132329905385040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51395 (or 51386 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 132329905385040 in words is "one hundred thirty-two trillion, three hundred twenty-nine billion, nine hundred five million, three hundred eighty-five thousand, forty".