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137955850921 = 731973409709
BaseRepresentation
bin1000000001111011001…
…1110011101010101001
3111012002101021100101001
42000132303303222221
54230013144212141
6143213120355001
712652450246000
oct2003663635251
9435071240331
10137955850921
1153563532739
12228a1175a61
131001722a725
146969d5dc37
1538c653ca31
hex201ecf3aa9

137955850921 has 64 divisors (see below), whose sum is σ = 172331200000. Its totient is φ = 110064116736.

The previous prime is 137955850897. The next prime is 137955850931. The reversal of 137955850921 is 129058559731.

It is a happy number.

137955850921 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137955850921 - 25 = 137955850889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137955850931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194577715 + ... + 194578423.

It is an arithmetic number, because the mean of its divisors is an integer number (2692675000).

Almost surely, 2137955850921 is an apocalyptic number.

It is an amenable number.

137955850921 is a deficient number, since it is larger than the sum of its proper divisors (34375349079).

137955850921 is an equidigital number, since it uses as much as digits as its factorization.

137955850921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 55.

The spelling of 137955850921 in words is "one hundred thirty-seven billion, nine hundred fifty-five million, eight hundred fifty thousand, nine hundred twenty-one".

Divisors: 1 7 19 49 73 133 343 409 511 709 931 1387 2863 3577 4963 6517 7771 9709 13471 20041 25039 29857 34741 51757 54397 67963 94297 140287 208999 243187 289981 362299 380779 475741 567283 660079 983383 1462993 2029867 2536093 2665453 3970981 4620553 5509639 6883681 10240951 14209069 17752651 21168613 27796867 38567473 48185767 99463483 148180291 194578069 269972311 337300369 402203647 1037262037 1889806177 2815425529 7260834259 19707978703 137955850921