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135413512104 = 233131789286859
BaseRepresentation
bin111111000011101000…
…1100011011110101000
3110221112012102011011010
41332013101203132220
54204311324341404
6142112541303520
712532446601323
oct1760721433650
9427465364133
10135413512104
1152479440982
12222b1864ba0
13ca005c6030
1467a844b7ba
1537c824c189
hex1f874637a8

135413512104 has 128 divisors (see below), whose sum is σ = 390359088000. Its totient is φ = 38774022144.

The previous prime is 135413512103. The next prime is 135413512123. The reversal of 135413512104 is 401215314531.

It is not an unprimeable number, because it can be changed into a prime (135413512103) 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, 328627 + ... + 615485.

It is an arithmetic number, because the mean of its divisors is an integer number (3049680375).

Almost surely, 2135413512104 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 135413512104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195179544000).

135413512104 is an abundant number, since it is smaller than the sum of its proper divisors (254945575896).

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

135413512104 is a wasteful number, since it uses less digits than its factorization.

135413512104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286987 (or 286983 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 135413512104 its reverse (401215314531), we get a palindrome (536628826635).

The spelling of 135413512104 in words is "one hundred thirty-five billion, four hundred thirteen million, five hundred twelve thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 89 102 104 136 156 178 204 221 267 312 356 408 442 534 663 712 884 1068 1157 1326 1513 1768 2136 2314 2652 3026 3471 4539 4628 5304 6052 6942 9078 9256 12104 13884 18156 19669 27768 36312 39338 59007 78676 118014 157352 236028 286859 472056 573718 860577 1147436 1721154 2294872 3442308 3729167 4876603 6884616 7458334 9753206 11187501 14629809 14916668 19506412 22375002 25530451 29259618 29833336 39012824 44750004 51060902 58519236 63395839 76591353 89500008 102121804 117038472 126791678 153182706 190187517 204243608 253583356 306365412 331895863 380375034 434017667 507166712 612730824 663791726 760750068 868035334 995687589 1302053001 1327583452 1521500136 1736070668 1991375178 2604106002 2655166904 3472141336 3982750356 5208212004 5642229671 7965500712 10416424008 11284459342 16926689013 22568918684 33853378026 45137837368 67706756052 135413512104