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137666229156 = 223668712
BaseRepresentation
bin1000000000110110001…
…0111111001110100100
3111011100012022001000000
42000031202333032210
54223420023313111
6143124253021300
712642332432451
oct2001542771644
9434305261000
10137666229156
1153424aa7605
1222820184830
13cc9c2246c1
14693d6cc828
1538aadcdc56
hex200d8bf3a4

137666229156 has 63 divisors (see below), whose sum is σ = 361261191963. Its totient is φ = 45882064440.

The previous prime is 137666229137. The next prime is 137666229157. The reversal of 137666229156 is 651922666731.

The square root of 137666229156 is 371034.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (137666229157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 20032401 + ... + 20039271.

Almost surely, 2137666229156 is an apocalyptic number.

137666229156 is the 371034-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137666229156

137666229156 is an abundant number, since it is smaller than the sum of its proper divisors (223594962807).

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

137666229156 is an frugal number, since it uses more digits than its factorization.

137666229156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13764 (or 6876 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 137666229156 in words is "one hundred thirty-seven billion, six hundred sixty-six million, two hundred twenty-nine thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 6871 13742 20613 27484 41226 61839 82452 123678 185517 247356 371034 556551 742068 1113102 1669653 2226204 3339306 5008959 6678612 10017918 20035836 47210641 94421282 141631923 188842564 283263846 424895769 566527692 849791538 1274687307 1699583076 2549374614 3824061921 5098749228 7648123842 11472185763 15296247684 22944371526 34416557289 45888743052 68833114578 137666229156