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135045214536 = 23361619149021
BaseRepresentation
bin111110111000101010…
…0100111000101001000
3110220120112101200212110
41331301110213011020
54203033033331121
6142012223342320
712520355245431
oct1756124470510
9426515350773
10135045214536
11522aa559521
122220a4519a0
13c97220458b
14677157a488
1537a5c4bd76
hex1f71527148

135045214536 has 64 divisors (see below), whose sum is σ = 343704340800. Its totient is φ = 44205292800.

The previous prime is 135045214487. The next prime is 135045214537. The reversal of 135045214536 is 635412540531.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 135045214494 and 135045214503.

It is not an unprimeable number, because it can be changed into a prime (135045214537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 831706 + ... + 980726.

It is an arithmetic number, because the mean of its divisors is an integer number (5370380325).

Almost surely, 2135045214536 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 135045214536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171852170400).

135045214536 is an abundant number, since it is smaller than the sum of its proper divisors (208659126264).

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

135045214536 is a wasteful number, since it uses less digits than its factorization.

135045214536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149710 (or 149706 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 135045214536 in words is "one hundred thirty-five billion, forty-five million, two hundred fourteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 619 732 1238 1464 1857 2476 3714 4952 7428 14856 37759 75518 113277 149021 151036 226554 298042 302072 447063 453108 596084 894126 906216 1192168 1788252 3576504 9090281 18180562 27270843 36361124 54541686 72722248 92243999 109083372 184487998 218166744 276731997 368975996 553463994 737951992 1106927988 2213855976 5626883939 11253767878 16880651817 22507535756 33761303634 45015071512 67522607268 135045214536