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135412514120 = 23513235415657
BaseRepresentation
bin111111000011100110…
…1101111110101001000
3110221112010112110011202
41332013031233311020
54204311100422440
6142112504043332
712532435243622
oct1760715576510
9427463473152
10135412514120
115247891a0a4
12222b1463548
13ca00336a00
1467a826bc12
1537c8101615
hex1f8736fd48

135412514120 has 96 divisors (see below), whose sum is σ = 330069274920. Its totient is φ = 49975511040.

The previous prime is 135412514101. The next prime is 135412514207. The reversal of 135412514120 is 21415214531.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 15224104996 + 120188409124 = 123386^2 + 346682^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23934332 + ... + 23939988.

Almost surely, 2135412514120 is an apocalyptic number.

135412514120 is a gapful number since it is divisible by the number (10) 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 135412514120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165034637460).

135412514120 is an abundant number, since it is smaller than the sum of its proper divisors (194656760800).

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

135412514120 is a wasteful number, since it uses less digits than its factorization.

135412514120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9235 (or 9218 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

Adding to 135412514120 its reverse (21415214531), we get a palindrome (156827728651).

The spelling of 135412514120 in words is "one hundred thirty-five billion, four hundred twelve million, five hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 3380 3541 5657 6760 7082 11314 14164 17705 22628 28285 28328 35410 45256 46033 56570 70820 73541 92066 113140 141640 147082 184132 226280 230165 294164 367705 368264 460330 588328 598429 735410 920660 956033 1196858 1470820 1841320 1912066 2393716 2941640 2992145 3824132 4780165 4787432 5984290 7648264 9560330 11968580 19120660 20031437 23937160 38241320 40062874 80125748 100157185 160251496 200314370 260408681 400628740 520817362 801257480 1041634724 1302043405 2083269448 2604086810 3385312853 5208173620 6770625706 10416347240 13541251412 16926564265 27082502824 33853128530 67706257060 135412514120