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137326566 = 23131924877
BaseRepresentation
bin10000010111101…
…10111111100110
3100120101220122010
420023312333212
5240123422231
621343215050
73255153666
oct1013667746
9316356563
10137326566
1170576533
1239ba7486
13225b2530
141434a1a6
15c0c9546
hex82f6fe6

137326566 has 48 divisors (see below), whose sum is σ = 312231024. Its totient is φ = 40022208.

The previous prime is 137326549. The next prime is 137326591. The reversal of 137326566 is 665623731.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25720 + ... + 30596.

It is an arithmetic number, because the mean of its divisors is an integer number (6504813).

Almost surely, 2137326566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137326566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156115512).

137326566 is an abundant number, since it is smaller than the sum of its proper divisors (174904458).

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

137326566 is a wasteful number, since it uses less digits than its factorization.

137326566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4933 (or 4914 counting only the distinct ones).

The product of its digits is 136080, while the sum is 39.

The square root of 137326566 is about 11718.6418155006. The cubic root of 137326566 is about 515.9229573696.

The spelling of 137326566 in words is "one hundred thirty-seven million, three hundred twenty-six thousand, five hundred sixty-six".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 361 494 722 741 1083 1482 2166 4693 4877 9386 9754 14079 14631 28158 29262 63401 92663 126802 185326 190203 277989 380406 555978 1204619 1760597 2409238 3521194 3613857 5281791 7227714 10563582 22887761 45775522 68663283 137326566