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137146224 = 24313732081
BaseRepresentation
bin10000010110010…
…10111101110000
3100120001202020210
420023022331300
5240102134344
621335304120
73253503135
oct1013127560
9316052223
10137146224
1170462a96
1239b1b040
132254b417
141430058c
15c090db9
hex82caf70

137146224 has 40 divisors (see below), whose sum is σ = 354722832. Its totient is φ = 45660160.

The previous prime is 137146159. The next prime is 137146231. The reversal of 137146224 is 422641731.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 137146191 and 137146200.

It is a congruent number.

It is an unprimeable number.

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, 64864 + ... + 66944.

Almost surely, 2137146224 is an apocalyptic number.

It is an amenable number.

137146224 is an abundant number, since it is smaller than the sum of its proper divisors (217576608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137146224 is a wasteful number, since it uses less digits than its factorization.

137146224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3465 (or 3459 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 137146224 is about 11710.9446245809. The cubic root of 137146224 is about 515.6970158072.

Adding to 137146224 its reverse (422641731), we get a palindrome (559787955).

The spelling of 137146224 in words is "one hundred thirty-seven million, one hundred forty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 1373 2081 2746 4119 4162 5492 6243 8238 8324 10984 12486 16476 16648 21968 24972 32952 33296 49944 65904 99888 2857213 5714426 8571639 11428852 17143278 22857704 34286556 45715408 68573112 137146224