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137326332 = 2231113791013
BaseRepresentation
bin10000010111101…
…10111011111100
3100120101220022110
420023312323330
5240123420312
621343214020
73255153213
oct1013667374
9316356273
10137326332
1170576340
1239ba7310
13225b23b0
141434a07a
15c0c943c
hex82f6efc

137326332 has 96 divisors (see below), whose sum is σ = 381588480. Its totient is φ = 37889280.

The previous prime is 137326327. The next prime is 137326333. The reversal of 137326332 is 233623731.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 137326332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137326333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135058 + ... + 136070.

It is an arithmetic number, because the mean of its divisors is an integer number (3974880).

Almost surely, 2137326332 is an apocalyptic number.

137326332 is a gapful number since it is divisible by the number (12) 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 137326332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190794240).

137326332 is an abundant number, since it is smaller than the sum of its proper divisors (244262148).

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

137326332 is a wasteful number, since it uses less digits than its factorization.

137326332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1121 counting only the distinct ones).

The product of its digits is 13608, while the sum is 30.

The square root of 137326332 is about 11718.6318314042. The cubic root of 137326332 is about 515.9226643308.

The spelling of 137326332 in words is "one hundred thirty-seven million, three hundred twenty-six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 79 132 143 156 158 237 286 316 429 474 572 858 869 948 1013 1027 1716 1738 2026 2054 2607 3039 3081 3476 4052 4108 5214 6078 6162 10428 11143 11297 12156 12324 13169 22286 22594 26338 33429 33891 39507 44572 45188 52676 66858 67782 79014 80027 133716 135564 144859 158028 160054 240081 289718 320108 434577 480162 579436 869154 880297 960324 1040351 1738308 1760594 2080702 2640891 3121053 3521188 4161404 5281782 6242106 10563564 11443861 12484212 22887722 34331583 45775444 68663166 137326332