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137217834 = 23313593313
BaseRepresentation
bin10000010110111…
…00011100101010
3100120012101111000
420023130130222
5240111432314
621341015430
73254221665
oct1013343452
9316171430
10137217834
1170501876
1239b54576
1322574bb0
141431c6dc
15c0a7209
hex82dc72a

137217834 has 64 divisors (see below), whose sum is σ = 334051200. Its totient is φ = 41492736.

The previous prime is 137217823. The next prime is 137217851. The reversal of 137217834 is 438712731.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39762 + ... + 43074.

It is an arithmetic number, because the mean of its divisors is an integer number (5219550).

Almost surely, 2137217834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137217834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167025600).

137217834 is an abundant number, since it is smaller than the sum of its proper divisors (196833366).

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

137217834 is a wasteful number, since it uses less digits than its factorization.

137217834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3396 (or 3390 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 137217834 is about 11714.0016219907. The cubic root of 137217834 is about 515.7867561264.

The spelling of 137217834 in words is "one hundred thirty-seven million, two hundred seventeen thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 59 78 117 118 177 234 351 354 531 702 767 1062 1534 1593 2301 3186 3313 4602 6626 6903 9939 13806 19878 20709 29817 41418 43069 59634 86138 89451 129207 178902 195467 258414 387621 390934 586401 775242 1162863 1172802 1759203 2325726 2541071 3518406 5082142 5277609 7623213 10555218 15246426 22869639 45739278 68608917 137217834