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137376233449 = 7213240732
BaseRepresentation
bin111111111110001000…
…0101111011111101001
3111010120222121201200021
41333330100233133221
54222321303432244
6143035413240441
712632211501100
oct1777420573751
9433528551607
10137376233449
1153296336534
122275b033121
13cc5411a400
146912da1037
1538906e9284
hex1ffc42f7e9

137376233449 has 27 divisors (see below), whose sum is σ = 173085786693. Its totient is φ = 108666597312.

The previous prime is 137376233447. The next prime is 137376233479. The reversal of 137376233449 is 944332673731.

The square root of 137376233449 is 370643.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 76456121049 + 60920112400 = 276507^2 + 246820^2 .

It is not a de Polignac number, because 137376233449 - 21 = 137376233447 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137376233396 and 137376233405.

It is not an unprimeable number, because it can be changed into a prime (137376233441) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33726477 + ... + 33730549.

Almost surely, 2137376233449 is an apocalyptic number.

137376233449 is the 370643-rd square number.

137376233449 is the 185322-nd centered octagonal number.

It is an amenable number.

137376233449 is a deficient number, since it is larger than the sum of its proper divisors (35709553244).

137376233449 is an frugal number, since it uses more digits than its factorization.

137376233449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8186 (or 4093 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 52.

The spelling of 137376233449 in words is "one hundred thirty-seven billion, three hundred seventy-six million, two hundred thirty-three thousand, four hundred forty-nine".

Divisors: 1 7 13 49 91 169 637 1183 4073 8281 28511 52949 199577 370643 688337 2594501 4818359 16589329 33728513 116125303 215661277 812877121 1509628939 2803596601 10567402573 19625176207 137376233449