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132234916186128 = 243747611061129379
BaseRepresentation
bin11110000100010001010111…
…001101001100100000010000
3122100012112102200002212011010
4132010101113031030200100
5114313014102020424003
61145123514252050520
736565441331640540
oct3604212715144020
9570175380085133
10132234916186128
1139152570914688
12129b8019a63a40
1358a2911b95092
1424922c005d320
151044b01022003
hex78445734c810

132234916186128 has 320 divisors, whose sum is σ = 405635786219520. Its totient is φ = 36336794572800.

The previous prime is 132234916186099. The next prime is 132234916186151. The reversal of 132234916186128 is 821681619432231.

It is a happy 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, 1022009343 + ... + 1022138721.

It is an arithmetic number, because the mean of its divisors is an integer number (1267611831936).

Almost surely, 2132234916186128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132234916186128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202817893109760).

132234916186128 is an abundant number, since it is smaller than the sum of its proper divisors (273400870033392).

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

132234916186128 is a wasteful number, since it uses less digits than its factorization.

132234916186128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130566 (or 130560 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 57.

The spelling of 132234916186128 in words is "one hundred thirty-two trillion, two hundred thirty-four billion, nine hundred sixteen million, one hundred eighty-six thousand, one hundred twenty-eight".