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137687381 = 1326939373
BaseRepresentation
bin10000011010011…
…11000101010101
3100121002020120122
420031033011111
5240221444011
621355041325
73261215636
oct1015170525
9317066518
10137687381
11707a2627
123a140245
13226aa830
141440188d
15c14b3db
hex834f155

137687381 has 8 divisors (see below), whose sum is σ = 148833720. Its totient is φ = 126620352.

The previous prime is 137687377. The next prime is 137687411. The reversal of 137687381 is 183786731.

It can be written as a sum of positive squares in 4 ways, for example, as 9205156 + 128482225 = 3034^2 + 11335^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137687381 - 22 = 137687377 is a prime.

It is a super-2 number, since 2×1376873812 = 37915629773278322, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137687311) 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 7 ways as a sum of consecutive naturals, for example, 16190 + ... + 23183.

It is an arithmetic number, because the mean of its divisors is an integer number (18604215).

Almost surely, 2137687381 is an apocalyptic number.

It is an amenable number.

137687381 is a deficient number, since it is larger than the sum of its proper divisors (11146339).

137687381 is a wasteful number, since it uses less digits than its factorization.

137687381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39655.

The product of its digits is 169344, while the sum is 44.

The square root of 137687381 is about 11734.0266319793. The cubic root of 137687381 is about 516.3744115221.

The spelling of 137687381 in words is "one hundred thirty-seven million, six hundred eighty-seven thousand, three hundred eighty-one".

Divisors: 1 13 269 3497 39373 511849 10591337 137687381