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137483346 = 237112132081
BaseRepresentation
bin10000011000111…
…01010001010010
3100120200212200210
420030131101102
5240143431341
621350424550
73256406040
oct1014352122
9316625623
10137483346
1170673300
123a062156
13226389c0
141438b390
15c10ac16
hex831d452

137483346 has 96 divisors (see below), whose sum is σ = 372161664. Its totient is φ = 32947200.

The previous prime is 137483323. The next prime is 137483377. The reversal of 137483346 is 643384731.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65026 + ... + 67106.

It is an arithmetic number, because the mean of its divisors is an integer number (3876684).

Almost surely, 2137483346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137483346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186080832).

137483346 is an abundant number, since it is smaller than the sum of its proper divisors (234678318).

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

137483346 is a wasteful number, since it uses less digits than its factorization.

137483346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2117 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 137483346 is about 11725.3292491085. The cubic root of 137483346 is about 516.1192185922.

The spelling of 137483346 in words is "one hundred thirty-seven million, four hundred eighty-three thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 121 143 154 182 231 242 273 286 363 429 462 546 726 847 858 1001 1573 1694 2002 2081 2541 3003 3146 4162 4719 5082 6006 6243 9438 11011 12486 14567 22022 22891 27053 29134 33033 43701 45782 54106 66066 68673 81159 87402 137346 160237 162318 189371 251801 297583 320474 378742 480711 503602 568113 595166 755403 892749 961422 1136226 1510806 1762607 1785498 2083081 3273413 3525214 4166162 5287821 6249243 6546826 9820239 10575642 12498486 19640478 22913891 45827782 68741673 137483346