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135525100304 = 24111989659691
BaseRepresentation
bin111111000110111101…
…1001110101100010000
3110221210222101102101102
41332031323032230100
54210023411202204
6142132005123532
712535303226336
oct1761573165420
9427728342342
10135525100304
1152526427830
12223230b95a8
13ca1a766259
1467b91b7b56
1537d2e4041e
hex1f8deceb10

135525100304 has 160 divisors (see below), whose sum is σ = 305819712000. Its totient is φ = 57533414400.

The previous prime is 135525100289. The next prime is 135525100307. The reversal of 135525100304 is 403001525531.

It is not an unprimeable number, because it can be changed into a prime (135525100307) 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, 196128599 + ... + 196129289.

It is an arithmetic number, because the mean of its divisors is an integer number (1911373200).

Almost surely, 2135525100304 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 135525100304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152909856000).

135525100304 is an abundant number, since it is smaller than the sum of its proper divisors (170294611696).

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

135525100304 is a wasteful number, since it uses less digits than its factorization.

135525100304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

Adding to 135525100304 its reverse (403001525531), we get a palindrome (538526625835).

The spelling of 135525100304 in words is "one hundred thirty-five billion, five hundred twenty-five million, one hundred thousand, three hundred four".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 89 152 176 178 209 304 356 418 659 691 712 836 979 1318 1382 1424 1672 1691 1958 2636 2764 3344 3382 3916 5272 5528 6764 7249 7601 7832 10544 11056 12521 13129 13528 14498 15202 15664 18601 25042 26258 27056 28996 30404 37202 50084 52516 57992 58651 60808 61499 74404 100168 105032 115984 117302 121616 122998 137731 144419 148808 200336 210064 234604 245996 275462 288838 297616 455369 469208 491992 550924 577676 645161 676489 910738 938416 983984 1101848 1114369 1155352 1168481 1290322 1352978 1821476 2203696 2228738 2310704 2336962 2580644 2705956 3642952 4457476 4673924 5009059 5161288 5411912 7285904 8652011 8914952 9347848 10018118 10322576 10823824 12258059 12853291 17304022 17829904 18695696 20036236 24516118 25706582 34608044 40072472 40527841 49032236 51413164 69216088 80144944 81055682 95172121 98064472 102826328 138432176 162111364 190344242 196128944 205652656 324222728 380688484 445806251 648445456 761376968 770028979 891612502 1522753936 1540057958 1783225004 3080115916 3566450008 6160231832 7132900016 8470318769 12320463664 16940637538 33881275076 67762550152 135525100304