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148071104136 = 233310122133067
BaseRepresentation
bin1000100111100110111…
…0011011111010001000
3112011012022220110012000
42021321232123322020
54411222200313021
6152004541351000
713461224422104
oct2117156337210
9464168813160
10148071104136
115788430713a
1224844868460
1310c69a6c367
147249524904
153cb95b4b26
hex2279b9be88

148071104136 has 128 divisors (see below), whose sum is σ = 415704182400. Its totient is φ = 48830342400.

The previous prime is 148071104131. The next prime is 148071104143. The reversal of 148071104136 is 631401170841.

148071104136 is a `hidden beast` number, since 1 + 480 + 71 + 104 + 1 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 148071104136.

It is not an unprimeable number, because it can be changed into a prime (148071104131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48277275 + ... + 48280341.

It is an arithmetic number, because the mean of its divisors is an integer number (3247688925).

Almost surely, 2148071104136 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 148071104136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207852091200).

148071104136 is an abundant number, since it is smaller than the sum of its proper divisors (267633078264).

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

148071104136 is a wasteful number, since it uses less digits than its factorization.

148071104136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5396 (or 5386 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 148071104136 its reverse (631401170841), we get a palindrome (779472274977).

The spelling of 148071104136 in words is "one hundred forty-eight billion, seventy-one million, one hundred four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 101 108 202 216 303 404 606 808 909 1212 1818 2213 2424 2727 3067 3636 4426 5454 6134 6639 7272 8852 9201 10908 12268 13278 17704 18402 19917 21816 24536 26556 27603 36804 39834 53112 55206 59751 73608 79668 82809 110412 119502 159336 165618 220824 223513 239004 309767 331236 447026 478008 619534 662472 670539 894052 929301 1239068 1341078 1788104 1858602 2011617 2478136 2682156 2787903 3717204 4023234 5364312 5575806 6034851 6787271 7434408 8046468 8363709 11151612 12069702 13574542 16092936 16727418 20361813 22303224 24139404 27149084 33454836 40723626 48278808 54298168 61085439 66909672 81447252 122170878 162894504 183256317 244341756 366512634 488683512 685514371 733025268 1371028742 1466050536 2056543113 2742057484 4113086226 5484114968 6169629339 8226172452 12339258678 16452344904 18508888017 24678517356 37017776034 49357034712 74035552068 148071104136