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137021787 = 3472192379
BaseRepresentation
bin10000010101011…
…00100101011011
3100112211102120000
420022230211123
5240034144122
621332504043
73252444300
oct1012544533
9315742500
10137021787
1170388551
1239a7b023
13225068a6
14142ab0a7
15c0690ac
hex82ac95b

137021787 has 120 divisors (see below), whose sum is σ = 264844800. Its totient is φ = 70053984.

The previous prime is 137021747. The next prime is 137021791. The reversal of 137021787 is 787120731.

It is a happy number.

It is not a de Polignac number, because 137021787 - 28 = 137021531 is a prime.

It is a super-2 number, since 2×1370217872 = 37549940225346738, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137021707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1734414 + ... + 1734492.

It is an arithmetic number, because the mean of its divisors is an integer number (2207040).

Almost surely, 2137021787 is an apocalyptic number.

137021787 is a deficient number, since it is larger than the sum of its proper divisors (127823013).

137021787 is a wasteful number, since it uses less digits than its factorization.

137021787 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 137021787 is about 11705.6305682351. The cubic root of 137021787 is about 515.5409993410.

The spelling of 137021787 in words is "one hundred thirty-seven million, twenty-one thousand, seven hundred eighty-seven".

Divisors: 1 3 7 9 19 21 23 27 49 57 63 69 79 81 133 147 161 171 189 207 237 399 437 441 483 513 553 567 621 711 931 1127 1197 1311 1323 1449 1501 1539 1659 1817 1863 2133 2793 3059 3381 3591 3871 3933 3969 4347 4503 4977 5451 6399 8379 9177 10143 10507 10773 11613 11799 12719 13041 13509 14931 16353 21413 25137 27531 30429 31521 34523 34839 35397 38157 40527 44793 49059 64239 73549 75411 82593 89033 91287 94563 103569 104517 114471 121581 147177 192717 220647 241661 247779 267099 283689 310707 313551 343413 578151 661941 724983 801297 851067 932121 1030239 1691627 1734453 1985823 2174949 2403891 2796363 5074881 5957469 6524847 7211673 15224643 19574541 45673929 137021787