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135659550 = 23521373953
BaseRepresentation
bin10000001011000…
…00000000011110
3100110021012220210
420011200000132
5234212101200
621243353250
73235041615
oct1005400036
9313235823
10135659550
116a638034
1239522826
132214a830
141403487c
15bd9a650
hex816001e

135659550 has 96 divisors (see below), whose sum is σ = 367663968. Its totient is φ = 32901120.

The previous prime is 135659533. The next prime is 135659561. The reversal of 135659550 is 55956531.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 135659499 and 135659508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141874 + ... + 142826.

It is an arithmetic number, because the mean of its divisors is an integer number (3829833).

Almost surely, 2135659550 is an apocalyptic number.

135659550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135659550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183831984).

135659550 is an abundant number, since it is smaller than the sum of its proper divisors (232004418).

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

135659550 is a wasteful number, since it uses less digits than its factorization.

135659550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 101250, while the sum is 39.

The square root of 135659550 is about 11647.2979699156. The cubic root of 135659550 is about 513.8268454382.

It can be divided in two parts, 1356 and 59550, that added together give a palindrome (60906).

The spelling of 135659550 in words is "one hundred thirty-five million, six hundred fifty-nine thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 73 75 78 130 146 150 195 219 325 365 390 438 650 730 949 953 975 1095 1825 1898 1906 1950 2190 2847 2859 3650 4745 4765 5475 5694 5718 9490 9530 10950 12389 14235 14295 23725 23825 24778 28470 28590 37167 47450 47650 61945 69569 71175 71475 74334 123890 139138 142350 142950 185835 208707 309725 347845 371670 417414 619450 695690 904397 929175 1043535 1739225 1808794 1858350 2087070 2713191 3478450 4521985 5217675 5426382 9043970 10435350 13565955 22609925 27131910 45219850 67829775 135659550