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137976696 = 233411131489
BaseRepresentation
bin10000011100101…
…01101101111000
3100121121221110000
420032111231320
5240310223241
621405153000
73263532264
oct1016255570
9317557400
10137976696
117097aa30
123a25b760
132277c420
14144790a4
15c1a6eb6
hex8395b78

137976696 has 160 divisors (see below), whose sum is σ = 454330800. Its totient is φ = 38568960.

The previous prime is 137976679. The next prime is 137976731. The reversal of 137976696 is 696679731.

137976696 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 91920 + ... + 93408.

Almost surely, 2137976696 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 137976696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227165400).

137976696 is an abundant number, since it is smaller than the sum of its proper divisors (316354104).

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

137976696 is a wasteful number, since it uses less digits than its factorization.

137976696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1518 counting only the distinct ones).

The product of its digits is 2571912, while the sum is 54.

The square root of 137976696 is about 11746.3481984828. The cubic root of 137976696 is about 516.7358349761.

The spelling of 137976696 in words is "one hundred thirty-seven million, nine hundred seventy-six thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 81 88 99 104 108 117 132 143 156 162 198 216 234 264 286 297 312 324 351 396 429 468 572 594 648 702 792 858 891 936 1053 1144 1188 1287 1404 1489 1716 1782 2106 2376 2574 2808 2978 3432 3564 3861 4212 4467 5148 5956 7128 7722 8424 8934 10296 11583 11912 13401 15444 16379 17868 19357 23166 26802 30888 32758 35736 38714 40203 46332 49137 53604 58071 65516 77428 80406 92664 98274 107208 116142 120609 131032 147411 154856 160812 174213 196548 212927 232284 241218 294822 321624 348426 393096 425854 442233 464568 482436 522639 589644 638781 696852 851708 884466 964872 1045278 1179288 1277562 1326699 1393704 1567917 1703416 1768932 1916343 2090556 2555124 2653398 3135834 3537864 3832686 4181112 5110248 5306796 5749029 6271668 7665372 10613592 11498058 12543336 15330744 17247087 22996116 34494174 45992232 68988348 137976696