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137214549 = 3221417121
BaseRepresentation
bin10000010110110…
…11101001010101
3100120012012222100
420023123221111
5240111331144
621340552313
73254206263
oct1013335125
9316165870
10137214549
11704aa35a
1239b52699
1322573554
141431b433
15c0a6269
hex82dba55

137214549 has 12 divisors (see below), whose sum is σ = 198319212. Its totient is φ = 91420800.

The previous prime is 137214503. The next prime is 137214569. The reversal of 137214549 is 945412731.

137214549 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 64112049 + 73102500 = 8007^2 + 8550^2 .

It is not a de Polignac number, because 137214549 - 213 = 137206357 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137214569) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15709 + ... + 22829.

It is an arithmetic number, because the mean of its divisors is an integer number (16526601).

Almost surely, 2137214549 is an apocalyptic number.

It is an amenable number.

137214549 is a deficient number, since it is larger than the sum of its proper divisors (61104663).

137214549 is a wasteful number, since it uses less digits than its factorization.

137214549 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9268 (or 9265 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 137214549 is about 11713.8614043363. The cubic root of 137214549 is about 515.7826401089.

The spelling of 137214549 in words is "one hundred thirty-seven million, two hundred fourteen thousand, five hundred forty-nine".

Divisors: 1 3 9 2141 6423 7121 19269 21363 64089 15246061 45738183 137214549