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137691873 = 33111313539
BaseRepresentation
bin10000011010100…
…00001011100001
3100121002110202000
420031100023201
5240222114443
621355114213
73261235014
oct1015201341
9317073660
10137691873
11707a5a40
123a142969
13226ac8a7
141440337b
15c14c8d3
hex83502e1

137691873 has 32 divisors (see below), whose sum is σ = 224294400. Its totient is φ = 82789200.

The previous prime is 137691859. The next prime is 137691877. The reversal of 137691873 is 378196731.

It is a de Polignac number, because none of the positive numbers 2k-137691873 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137691877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37138 + ... + 40676.

It is an arithmetic number, because the mean of its divisors is an integer number (7009200).

Almost surely, 2137691873 is an apocalyptic number.

It is an amenable number.

137691873 is a deficient number, since it is larger than the sum of its proper divisors (86602527).

137691873 is a wasteful number, since it uses less digits than its factorization.

137691873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3690 (or 3684 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 137691873 is about 11734.2180395628. The cubic root of 137691873 is about 516.3800269693.

The spelling of 137691873 in words is "one hundred thirty-seven million, six hundred ninety-one thousand, eight hundred seventy-three".

Divisors: 1 3 9 11 27 33 99 131 297 393 1179 1441 3537 3539 4323 10617 12969 31851 38907 38929 95553 116787 350361 463609 1051083 1390827 4172481 5099699 12517443 15299097 45897291 137691873