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121336137 = 3413611889
BaseRepresentation
bin1110011101101…
…11000101001001
322110022111220000
413032313011021
5222030224022
620012353213
73002224446
oct716670511
9273274800
10121336137
11625446aa
1234775809
131c1a4140
14121869cd
15a9bb6ac
hex73b7149

121336137 has 40 divisors (see below), whose sum is σ = 198502920. Its totient is φ = 73405440.

The previous prime is 121336121. The next prime is 121336141. The reversal of 121336137 is 731633121.

121336137 is a `hidden beast` number, since 12 + 1 + 33 + 613 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1565001 + 119771136 = 1251^2 + 10944^2 .

It is not a de Polignac number, because 121336137 - 24 = 121336121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 121336137.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121336177) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 63289 + ... + 65177.

It is an arithmetic number, because the mean of its divisors is an integer number (4962573).

Almost surely, 2121336137 is an apocalyptic number.

It is an amenable number.

121336137 is a deficient number, since it is larger than the sum of its proper divisors (77166783).

121336137 is a wasteful number, since it uses less digits than its factorization.

121336137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1966 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 121336137 is about 11015.2683580565. The cubic root of 121336137 is about 495.0663272003.

Adding to 121336137 its reverse (731633121), we get a palindrome (852969258).

The spelling of 121336137 in words is "one hundred twenty-one million, three hundred thirty-six thousand, one hundred thirty-seven".

Divisors: 1 3 9 13 27 39 61 81 117 183 351 549 793 1053 1647 1889 2379 4941 5667 7137 17001 21411 24557 51003 64233 73671 115229 153009 221013 345687 663039 1037061 1497977 1989117 3111183 4493931 9333549 13481793 40445379 121336137