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132237158314248 = 2332132192239125959
BaseRepresentation
bin11110000100010011011100…
…110110001111000100001000
3122100012202012221001202201100
4132010103130312033010020
5114313033200012023443
61145124524544421400
736565551025500321
oct3604233466170410
9570182187052640
10132237158314248
11391535114a8729
12129b8544917860
1358a2bab556b00
142492453b45448
151044bd2cb13d3
hex7844dcd8f108

132237158314248 has 432 divisors, whose sum is σ = 411012064944000. Its totient is φ = 38385275265792.

The previous prime is 132237158314241. The next prime is 132237158314309. The reversal of 132237158314248 is 842413851732231.

132237158314248 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 3 + 7 + 1 + 583 + 14 + 2 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 132237158314194 and 132237158314203.

It is not an unprimeable number, because it can be changed into a prime (132237158314241) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1049779893 + ... + 1049905851.

It is an arithmetic number, because the mean of its divisors is an integer number (951416817000).

Almost surely, 2132237158314248 is an apocalyptic number.

132237158314248 is a gapful number since it is divisible by the number (18) 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 132237158314248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205506032472000).

132237158314248 is an abundant number, since it is smaller than the sum of its proper divisors (278774906629752).

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

132237158314248 is a wasteful number, since it uses less digits than its factorization.

132237158314248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126274 (or 126235 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 132237158314248 in words is "one hundred thirty-two trillion, two hundred thirty-seven billion, one hundred fifty-eight million, three hundred fourteen thousand, two hundred forty-eight".