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135809652 = 223114371337
BaseRepresentation
bin10000001100001…
…00101001110100
3100110112211211010
420012010221310
5234231402102
621250512220
73236235336
oct1006045164
9313484733
10135809652
116a72a890
1239595670
13221a0c54
1414073456
15bdc9d6c
hex8184a74

135809652 has 96 divisors (see below), whose sum is σ = 359783424. Its totient is φ = 39513600.

The previous prime is 135809623. The next prime is 135809669. The reversal of 135809652 is 256908531.

It is a super-2 number, since 2×1358096522 = 36888523152722208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135809652.

It is a congruent number.

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, 402828 + ... + 403164.

It is an arithmetic number, because the mean of its divisors is an integer number (3747744).

Almost surely, 2135809652 is an apocalyptic number.

135809652 is a gapful number since it is divisible by the number (12) 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 135809652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179891712).

135809652 is an abundant number, since it is smaller than the sum of its proper divisors (223973772).

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

135809652 is a wasteful number, since it uses less digits than its factorization.

135809652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 135809652 is about 11653.7398289133. The cubic root of 135809652 is about 514.0162853728.

It can be divided in two parts, 13580 and 9652, that added together give a palindrome (23232).

The spelling of 135809652 in words is "one hundred thirty-five million, eight hundred nine thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 71 86 129 132 142 172 213 258 284 337 426 473 516 674 781 852 946 1011 1348 1419 1562 1892 2022 2343 2838 3053 3124 3707 4044 4686 5676 6106 7414 9159 9372 11121 12212 14491 14828 18318 22242 23927 28982 33583 36636 43473 44484 47854 57964 67166 71781 86946 95708 100749 134332 143562 159401 173892 201498 263197 287124 318802 402996 478203 526394 637604 789591 956406 1028861 1052788 1579182 1912812 2057722 3086583 3158364 4115444 6173166 11317471 12346332 22634942 33952413 45269884 67904826 135809652