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1137130164 = 22351967919
BaseRepresentation
bin100001111000111…
…0011101010110100
32221020201012100000
41003301303222310
54312101131124
6304500351300
740115306202
oct10361635264
92836635300
101137130164
115339757a5
122789a5530
131517811b1
14ab046072
1569c6c6c9
hex43c73ab4

1137130164 has 144 divisors (see below), whose sum is σ = 3188057600. Its totient is φ = 353349216.

The previous prime is 1137130157. The next prime is 1137130237. The reversal of 1137130164 is 4610317311.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1236897 + ... + 1237815.

Almost surely, 21137130164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1137130164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594028800).

1137130164 is an abundant number, since it is smaller than the sum of its proper divisors (2050927436).

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

1137130164 is a wasteful number, since it uses less digits than its factorization.

1137130164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1137130164 is about 33721.3606487046. The cubic root of 1137130164 is about 1043.7665946708.

Adding to 1137130164 its reverse (4610317311), we get a palindrome (5747447475).

The spelling of 1137130164 in words is "one billion, one hundred thirty-seven million, one hundred thirty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 67 76 81 108 114 134 162 171 201 228 243 268 324 342 402 486 513 603 684 804 919 972 1026 1206 1273 1539 1809 1838 2052 2412 2546 2757 3078 3618 3676 3819 4617 5092 5427 5514 6156 7236 7638 8271 9234 10854 11028 11457 15276 16281 16542 17461 18468 21708 22914 24813 32562 33084 34371 34922 45828 49626 52383 61573 65124 68742 69844 74439 99252 103113 104766 123146 137484 148878 157149 184719 206226 209532 223317 246292 297756 309339 314298 369438 412452 446634 471447 554157 618678 628596 738876 893268 942894 1108314 1169887 1237356 1414341 1662471 1885788 2216628 2339774 2828682 3324942 3509661 4243023 4679548 4987413 5657364 6649884 7019322 8486046 9974826 10528983 14038644 14962239 16972092 19949652 21057966 29924478 31586949 42115932 59848956 63173898 94760847 126347796 189521694 284282541 379043388 568565082 1137130164