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137479888 = 2473134147
BaseRepresentation
bin10000011000111…
…00011011010000
3100120200200221201
420030130123100
5240143324023
621350400544
73256363000
oct1014343320
9316620851
10137479888
1170670747
123a060154
1322637260
141438a000
15c109bad
hex831c6d0

137479888 has 160 divisors (see below), whose sum is σ = 349977600. Its totient is φ = 51932160.

The previous prime is 137479871. The next prime is 137479889. The reversal of 137479888 is 888974731.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137479889) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2925081 + ... + 2925127.

It is an arithmetic number, because the mean of its divisors is an integer number (2187360).

Almost surely, 2137479888 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 137479888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174988800).

137479888 is an abundant number, since it is smaller than the sum of its proper divisors (212497712).

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

137479888 is a wasteful number, since it uses less digits than its factorization.

137479888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 110 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 55.

The square root of 137479888 is about 11725.1817896355. The cubic root of 137479888 is about 516.1148913888.

The spelling of 137479888 in words is "one hundred thirty-seven million, four hundred seventy-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 41 47 49 52 56 82 91 94 98 104 112 164 182 188 196 208 287 328 329 343 364 376 392 533 574 611 637 656 658 686 728 752 784 1066 1148 1222 1274 1316 1372 1456 1927 2009 2132 2296 2303 2444 2548 2632 2744 3731 3854 4018 4264 4277 4459 4592 4606 4888 5096 5264 5488 7462 7708 8036 8528 8554 8918 9212 9776 10192 13489 14063 14924 15416 16072 16121 17108 17836 18424 25051 26117 26978 28126 29848 29939 30832 32144 32242 34216 35672 36848 50102 52234 53956 56252 59696 59878 64484 68432 71344 94423 100204 104468 107912 112504 119756 128968 175357 182819 188846 200408 208936 209573 215824 225008 239512 257936 350714 365638 377692 400816 417872 419146 479024 660961 701428 731276 755384 838292 1227499 1321922 1402856 1462552 1510768 1676584 2454998 2643844 2805712 2925104 3353168 4909996 5287688 8592493 9819992 10575376 17184986 19639984 34369972 68739944 137479888