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132032130032000 = 2753114733747363
BaseRepresentation
bin11110000001010100100000…
…001101011010000110000000
3122022111011000011011212201002
4132001110200031122012000
5114301203300242011000
61144450420113031132
736545002160033312
oct3601244015320600
9568434004155632
10132032130032000
113908456a372670
12129848652554a8
135889765585bc3
142486563d1d7b2
15103e6d319a8d5
hex78152035a180

132032130032000 has 512 divisors, whose sum is σ = 366819432744960. Its totient is φ = 46849732608000.

The previous prime is 132032130031951. The next prime is 132032130032039. The reversal of 132032130032000 is 230031230231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2787640319 + ... + 2787687681.

It is an arithmetic number, because the mean of its divisors is an integer number (716444204580).

Almost surely, 2132032130032000 is an apocalyptic number.

132032130032000 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 132032130032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183409716372480).

132032130032000 is an abundant number, since it is smaller than the sum of its proper divisors (234787302712960).

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

132032130032000 is a wasteful number, since it uses less digits than its factorization.

132032130032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47787 (or 47765 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 132032130032000 its reverse (230031230231), we get a palindrome (132262161262231).

The spelling of 132032130032000 in words is "one hundred thirty-two trillion, thirty-two billion, one hundred thirty million, thirty-two thousand".