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137384745 = 35295359101
BaseRepresentation
bin10000011000001…
…01001100101001
3100120111212102220
420030011030221
5240132302440
621344344253
73255515421
oct1014051451
9316455386
10137384745
1170606213
123a015089
1322602b64
1414363481
15c0db8d0
hex8305329

137384745 has 64 divisors (see below), whose sum is σ = 237945600. Its totient is φ = 67558400.

The previous prime is 137384743. The next prime is 137384771. The reversal of 137384745 is 547483731.

It is not a de Polignac number, because 137384745 - 21 = 137384743 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137384697 and 137384706.

It is not an unprimeable number, because it can be changed into a prime (137384743) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1360195 + ... + 1360295.

It is an arithmetic number, because the mean of its divisors is an integer number (3717900).

Almost surely, 2137384745 is an apocalyptic number.

137384745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137384745 is a deficient number, since it is larger than the sum of its proper divisors (100560855).

137384745 is a wasteful number, since it uses less digits than its factorization.

137384745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250.

The product of its digits is 282240, while the sum is 42.

The square root of 137384745 is about 11721.1238795604. The cubic root of 137384745 is about 515.9958047553.

The spelling of 137384745 in words is "one hundred thirty-seven million, three hundred eighty-four thousand, seven hundred forty-five".

Divisors: 1 3 5 15 29 53 59 87 101 145 159 177 265 295 303 435 505 795 885 1515 1537 1711 2929 3127 4611 5133 5353 5959 7685 8555 8787 9381 14645 15635 16059 17877 23055 25665 26765 29795 43935 46905 80295 89385 90683 155237 172811 272049 315827 453415 465711 518433 776185 864055 947481 1360245 1579135 2328555 2592165 4737405 9158983 27476949 45794915 137384745