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137112321834 = 236193487261
BaseRepresentation
bin111111110110010000…
…1111111111100101010
3111002220121000122000000
41333230201333330222
54221301223244314
6142553304523430
712622525335345
oct1775441777452
9432817018000
10137112321834
1153170370864
12226a6780576
13cc115468a7
1468c9d0345c
153877468209
hex1fec87ff2a

137112321834 has 56 divisors (see below), whose sum is σ = 309960027012. Its totient is φ = 45467205120.

The previous prime is 137112321833. The next prime is 137112321847. The reversal of 137112321834 is 438123211731.

It can be written as a sum of positive squares in 2 ways, for example, as 134063625609 + 3048696225 = 366147^2 + 55215^2 .

It is not an unprimeable number, because it can be changed into a prime (137112321833) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 37764 + ... + 525024.

Almost surely, 2137112321834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137112321834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154980013506).

137112321834 is an abundant number, since it is smaller than the sum of its proper divisors (172847705178).

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

137112321834 is an equidigital number, since it uses as much as digits as its factorization.

137112321834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487474 (or 487459 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The spelling of 137112321834 in words is "one hundred thirty-seven billion, one hundred twelve million, three hundred twenty-one thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 193 243 386 486 579 729 1158 1458 1737 3474 5211 10422 15633 31266 46899 93798 140697 281394 487261 974522 1461783 2923566 4385349 8770698 13156047 26312094 39468141 78936282 94041373 118404423 188082746 236808846 282124119 355213269 564248238 710426538 846372357 1692744714 2539117071 5078234142 7617351213 15234702426 22852053639 45704107278 68556160917 137112321834