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137022849 = 3215796973
BaseRepresentation
bin10000010101011…
…00110110000001
3100112211111000100
420022230312001
5240034212344
621332513013
73252450345
oct1012546601
9315744010
10137022849
1170389327
1239a7b769
1322507212
14142ab625
15c069569
hex82acd81

137022849 has 12 divisors (see below), whose sum is σ = 199184596. Its totient is φ = 90765792.

The previous prime is 137022817. The next prime is 137022863. The reversal of 137022849 is 948220731.

137022849 is a `hidden beast` number, since 1 + 370 + 2 + 284 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17514225 + 119508624 = 4185^2 + 10932^2 .

It is not a de Polignac number, because 137022849 - 25 = 137022817 is a prime.

It is a super-2 number, since 2×1370228492 = 37550522296153602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137022869) 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 11 ways as a sum of consecutive naturals, for example, 47074 + ... + 49899.

Almost surely, 2137022849 is an apocalyptic number.

It is an amenable number.

137022849 is a deficient number, since it is larger than the sum of its proper divisors (62161747).

137022849 is a wasteful number, since it uses less digits than its factorization.

137022849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97136 (or 97133 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 137022849 is about 11705.6759309320. The cubic root of 137022849 is about 515.5423312535.

The spelling of 137022849 in words is "one hundred thirty-seven million, twenty-two thousand, eight hundred forty-nine".

Divisors: 1 3 9 157 471 1413 96973 290919 872757 15224761 45674283 137022849