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137216277 = 321110113723
BaseRepresentation
bin10000010110111…
…00000100010101
3100120012022100100
420023130010111
5240111410102
621341004313
73254214312
oct1013340425
9316168310
10137216277
1170500690
1239b53699
1322574283
141431bd09
15c0a6a1c
hex82dc115

137216277 has 24 divisors (see below), whose sum is σ = 218376288. Its totient is φ = 82332000.

The previous prime is 137216269. The next prime is 137216293. The reversal of 137216277 is 772612731.

137216277 is a `hidden beast` number, since 1 + 3 + 7 + 21 + 627 + 7 = 666.

It is not a de Polignac number, because 137216277 - 23 = 137216269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137216227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3138 + ... + 16860.

It is an arithmetic number, because the mean of its divisors is an integer number (9099012).

Almost surely, 2137216277 is an apocalyptic number.

It is an amenable number.

137216277 is a deficient number, since it is larger than the sum of its proper divisors (81160011).

137216277 is a wasteful number, since it uses less digits than its factorization.

137216277 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13841 (or 13838 counting only the distinct ones).

The product of its digits is 24696, while the sum is 36.

The square root of 137216277 is about 11713.9351628733. The cubic root of 137216277 is about 515.7848052551.

The spelling of 137216277 in words is "one hundred thirty-seven million, two hundred sixteen thousand, two hundred seventy-seven".

Divisors: 1 3 9 11 33 99 101 303 909 1111 3333 9999 13723 41169 123507 150953 452859 1358577 1386023 4158069 12474207 15246253 45738759 137216277