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135487620 = 223351714759
BaseRepresentation
bin10000001001101…
…10000010000100
3100102221111002000
420010312002010
5234141100440
621235545300
73233424432
oct1004660204
9312844060
10135487620
116a52a944
123945b230
13220ba4b8
1413dcbd52
15bd64730
hex8136084

135487620 has 96 divisors (see below), whose sum is σ = 446342400. Its totient is φ = 34002432.

The previous prime is 135487591. The next prime is 135487643. The reversal of 135487620 is 26784531.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1801 + ... + 16559.

It is an arithmetic number, because the mean of its divisors is an integer number (4649400).

Almost surely, 2135487620 is an apocalyptic number.

135487620 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 135487620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223171200).

135487620 is an abundant number, since it is smaller than the sum of its proper divisors (310854780).

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

135487620 is a wasteful number, since it uses less digits than its factorization.

135487620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14794 (or 14786 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 135487620 is about 11639.9149481429. The cubic root of 135487620 is about 513.6096851611.

It can be divided in two parts, 1354876 and 20, that added together give a square (1354896 = 11642).

The spelling of 135487620 in words is "one hundred thirty-five million, four hundred eighty-seven thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 9180 14759 29518 44277 59036 73795 88554 132831 147590 177108 221385 250903 265662 295180 398493 442770 501806 531324 664155 752709 796986 885540 1003612 1254515 1328310 1505418 1593972 1992465 2258127 2509030 2656620 3010836 3763545 3984930 4516254 5018060 6774381 7527090 7969860 9032508 11290635 13548762 15054180 22581270 27097524 33871905 45162540 67743810 135487620