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137706885 = 3551759113
BaseRepresentation
bin10000011010100…
…11110110000101
3100121010020100000
420031103312011
5240223110020
621355311513
73261326541
oct1015236605
9317106300
10137706885
1170806248
123a14b599
13226b6684
1414408a21
15c152090
hex8353d85

137706885 has 96 divisors (see below), whose sum is σ = 268894080. Its totient is φ = 67350528.

The previous prime is 137706869. The next prime is 137706893. The reversal of 137706885 is 588607731.

It is not a de Polignac number, because 137706885 - 24 = 137706869 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 137706885.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1218589 + ... + 1218701.

It is an arithmetic number, because the mean of its divisors is an integer number (2800980).

Almost surely, 2137706885 is an apocalyptic number.

137706885 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137706885 is a deficient number, since it is larger than the sum of its proper divisors (131187195).

137706885 is a wasteful number, since it uses less digits than its factorization.

137706885 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 137706885 is about 11734.8576898060. The cubic root of 137706885 is about 516.3987925776.

The spelling of 137706885 in words is "one hundred thirty-seven million, seven hundred six thousand, eight hundred eighty-five".

Divisors: 1 3 5 9 15 17 27 45 51 59 81 85 113 135 153 177 243 255 295 339 405 459 531 565 765 885 1003 1017 1215 1377 1593 1695 1921 2295 2655 3009 3051 4131 4779 5015 5085 5763 6667 6885 7965 9027 9153 9605 14337 15045 15255 17289 20001 20655 23895 27081 27459 28815 33335 45135 45765 51867 60003 71685 81243 86445 100005 113339 135405 137295 155601 180009 243729 259335 300015 340017 406215 466803 540027 566695 778005 900045 1020051 1218645 1620081 1700085 2334015 2700135 3060153 5100255 8100405 9180459 15300765 27541377 45902295 137706885