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137119788 = 223213674373
BaseRepresentation
bin10000010110001…
…00100000101100
3100120000101222200
420023010200230
5240100313123
621334541500
73253333101
oct1013044054
9316011880
10137119788
1170445143
1239b07890
132253c390
14142d4aa8
15c088143
hex82c482c

137119788 has 72 divisors (see below), whose sum is σ = 378928368. Its totient is φ = 41551488.

The previous prime is 137119757. The next prime is 137119793. The reversal of 137119788 is 887911731.

It is a happy number.

It is a super-2 number, since 2×1371197882 = 37603672522329888, which contains 22 as substring.

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, 29170 + ... + 33542.

It is an arithmetic number, because the mean of its divisors is an integer number (5262894).

Almost surely, 2137119788 is an apocalyptic number.

137119788 is a gapful number since it is divisible by the number (18) 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 137119788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189464184).

137119788 is an abundant number, since it is smaller than the sum of its proper divisors (241808580).

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

137119788 is a wasteful number, since it uses less digits than its factorization.

137119788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4463 (or 4458 counting only the distinct ones).

The product of its digits is 84672, while the sum is 45.

The square root of 137119788 is about 11709.8158824125. The cubic root of 137119788 is about 515.6638788095.

The spelling of 137119788 in words is "one hundred thirty-seven million, one hundred nineteen thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 67 78 117 134 156 201 234 268 402 468 603 804 871 1206 1742 2412 2613 3484 4373 5226 7839 8746 10452 13119 15678 17492 26238 31356 39357 52476 56849 78714 113698 157428 170547 227396 292991 341094 511641 585982 682188 878973 1023282 1171964 1757946 2046564 2636919 3515892 3808883 5273838 7617766 10547676 11426649 15235532 22853298 34279947 45706596 68559894 137119788