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137946908 = 221117223827
BaseRepresentation
bin10000011100011…
…10011100011100
3100121120102120202
420032032130130
5240303300113
621404403032
73263346401
oct1016163434
9317512522
10137946908
117095a610
123a246478
132276b9b8
141446c2a8
15c19d258
hex838e71c

137946908 has 48 divisors (see below), whose sum is σ = 280433664. Its totient is φ = 58679040.

The previous prime is 137946899. The next prime is 137946917. The reversal of 137946908 is 809649731.

137946908 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137946899) and next prime (137946917).

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 15 ways as a sum of consecutive naturals, for example, 166391 + ... + 167217.

It is an arithmetic number, because the mean of its divisors is an integer number (5842368).

Almost surely, 2137946908 is an apocalyptic number.

It is an amenable number.

137946908 is an abundant number, since it is smaller than the sum of its proper divisors (142486756).

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

137946908 is a wasteful number, since it uses less digits than its factorization.

137946908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 47.

The square root of 137946908 is about 11745.0801614974. The cubic root of 137946908 is about 516.6986460030.

It can be divided in two parts, 13794 and 6908, that added together give a palindrome (20702).

The spelling of 137946908 in words is "one hundred thirty-seven million, nine hundred forty-six thousand, nine hundred eight".

Divisors: 1 2 4 11 17 22 34 44 68 187 223 374 446 748 827 892 1654 2453 3308 3791 4906 7582 9097 9812 14059 15164 18194 28118 36388 41701 56236 83402 154649 166804 184421 309298 368842 618596 737684 2028631 3135157 4057262 6270314 8114524 12540628 34486727 68973454 137946908