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136143436152 = 23319297116183
BaseRepresentation
bin111111011001011000…
…1111111100101111000
3111000102001220010201010
41332302301333211320
54212310204424102
6142313214153520
712556522053633
oct1766261774570
9430361803633
10136143436152
1152813469699
12224761b28a0
13cab88b1959
146837374c1a
15381c380d6c
hex1fb2c7f978

136143436152 has 96 divisors (see below), whose sum is σ = 359607185280. Its totient is φ = 42945733440.

The previous prime is 136143436151. The next prime is 136143436181. The reversal of 136143436152 is 251634341631.

It is a self number, because there is not a number n which added to its sum of digits gives 136143436152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136143436151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8404653 + ... + 8420835.

It is an arithmetic number, because the mean of its divisors is an integer number (3745908180).

Almost surely, 2136143436152 is an apocalyptic number.

136143436152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136143436152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179803592640).

136143436152 is an abundant number, since it is smaller than the sum of its proper divisors (223463749128).

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

136143436152 is a wasteful number, since it uses less digits than its factorization.

136143436152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17201 (or 17178 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

Adding to 136143436152 its reverse (251634341631), we get a palindrome (387777777783).

The spelling of 136143436152 in words is "one hundred thirty-six billion, one hundred forty-three million, four hundred thirty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 361 456 722 971 1083 1444 1942 2166 2888 2913 3884 4332 5826 7768 8664 11652 16183 18449 23304 32366 36898 48549 55347 64732 73796 97098 110694 129464 147592 194196 221388 307477 350531 388392 442776 614954 701062 922431 1051593 1229908 1402124 1844862 2103186 2459816 2804248 3689724 4206372 5842063 7379448 8412744 11684126 15713693 17526189 23368252 31427386 35052378 46736504 47141079 62854772 70104756 94282158 125709544 140209512 188564316 298560167 377128632 597120334 895680501 1194240668 1791361002 2388481336 3582722004 5672643173 7165444008 11345286346 17017929519 22690572692 34035859038 45381145384 68071718076 136143436152