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137067804 = 223217297723
BaseRepresentation
bin10000010101101…
…11110100011100
3100112220202200100
420022313310130
5240042132204
621333501100
73253025406
oct1012676434
9315822610
10137067804
117040a085
1239aa1790
1322521813
14142bdb76
15c077a39
hex82b7d1c

137067804 has 72 divisors (see below), whose sum is σ = 379557360. Its totient is φ = 41513472.

The previous prime is 137067779. The next prime is 137067857. The reversal of 137067804 is 408760731.

137067804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13887 + ... + 21609.

It is an arithmetic number, because the mean of its divisors is an integer number (5271630).

Almost surely, 2137067804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137067804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189778680).

137067804 is an abundant number, since it is smaller than the sum of its proper divisors (242489556).

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

137067804 is a wasteful number, since it uses less digits than its factorization.

137067804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7779 (or 7774 counting only the distinct ones).

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

The square root of 137067804 is about 11707.5959957628. The cubic root of 137067804 is about 515.5987054801.

The spelling of 137067804 in words is "one hundred thirty-seven million, sixty-seven thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 51 58 68 87 102 116 153 174 204 261 306 348 493 522 612 986 1044 1479 1972 2958 4437 5916 7723 8874 15446 17748 23169 30892 46338 69507 92676 131291 139014 223967 262582 278028 393873 447934 525164 671901 787746 895868 1181619 1343802 1575492 2015703 2363238 2687604 3807439 4031406 4726476 7614878 8062812 11422317 15229756 22844634 34266951 45689268 68533902 137067804