Search a number
-
+
137827109 = 71723371361
BaseRepresentation
bin10000011011100…
…01001100100101
3100121100100020202
420031301030211
5240240431414
621402040245
73262340210
oct1015611445
9317310222
10137827109
1170888602
123a1a9085
1322729304
141443a777
15c1779de
hex8371325

137827109 has 32 divisors (see below), whose sum is σ = 178868736. Its totient is φ = 103403520.

The previous prime is 137827103. The next prime is 137827187. The reversal of 137827109 is 901728731.

It is not a de Polignac number, because 137827109 - 28 = 137826853 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137827103) 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, 100589 + ... + 101949.

It is an arithmetic number, because the mean of its divisors is an integer number (5589648).

Almost surely, 2137827109 is an apocalyptic number.

It is an amenable number.

137827109 is a deficient number, since it is larger than the sum of its proper divisors (41041627).

137827109 is a wasteful number, since it uses less digits than its factorization.

137827109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445.

The product of its (nonzero) digits is 21168, while the sum is 38.

The square root of 137827109 is about 11739.9790885674. The cubic root of 137827109 is about 516.5490282757.

The spelling of 137827109 in words is "one hundred thirty-seven million, eight hundred twenty-seven thousand, one hundred nine".

Divisors: 1 7 17 23 37 119 161 259 391 629 851 1361 2737 4403 5957 9527 14467 23137 31303 50357 101269 161959 219121 352499 532151 856069 1158211 3725057 5992483 8107477 19689587 137827109