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135841362176 = 281340817717
BaseRepresentation
bin111111010000011000…
…1101011000100000000
3110222122000111012010002
41332200301223010000
54211200342042201
6142223223455132
712546163345532
oct1764061530400
9428560435102
10135841362176
11526789a8a83
12223b0bb74a8
13ca6b138b60
1468091c1852
153800ab276b
hex1fa0c6b100

135841362176 has 36 divisors (see below), whose sum is σ = 292009954572. Its totient is φ = 62696011776.

The previous prime is 135841362143. The next prime is 135841362199. The reversal of 135841362176 is 671263148531.

It can be written as a sum of positive squares in 2 ways, for example, as 61543686400 + 74297675776 = 248080^2 + 272576^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 135841362176.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20405531 + ... + 20412186.

It is an arithmetic number, because the mean of its divisors is an integer number (8111387627).

Almost surely, 2135841362176 is an apocalyptic number.

135841362176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135841362176 is an abundant number, since it is smaller than the sum of its proper divisors (156168592396).

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

135841362176 is an equidigital number, since it uses as much as digits as its factorization.

135841362176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40817746 (or 40817732 counting only the distinct ones).

The product of its digits is 725760, while the sum is 47.

The spelling of 135841362176 in words is "one hundred thirty-five billion, eight hundred forty-one million, three hundred sixty-two thousand, one hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 40817717 81635434 163270868 326541736 530630321 653083472 1061260642 1306166944 2122521284 2612333888 4245042568 5224667776 8490085136 10449335552 16980170272 33960340544 67920681088 135841362176