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135529542 = 232171812447
BaseRepresentation
bin10000001010000…
…00010001000110
3100110000121120200
420011000101012
5234143421132
621240511330
73233660601
oct1005002106
9313017520
10135529542
116a559395
123947b546
13221035c5
1413ddd338
15bd71d7c
hex8140446

135529542 has 48 divisors (see below), whose sum is σ = 312766272. Its totient is φ = 42266880.

The previous prime is 135529531. The next prime is 135529553. The reversal of 135529542 is 245925531.

It is a happy number.

135529542 is a `hidden beast` number, since 13 + 552 + 95 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (135529531) and next prime (135529553).

It is a junction number, because it is equal to n+sod(n) for n = 135529497 and 135529506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54163 + ... + 56609.

It is an arithmetic number, because the mean of its divisors is an integer number (6515964).

Almost surely, 2135529542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135529542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156383136).

135529542 is an abundant number, since it is smaller than the sum of its proper divisors (177236730).

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

135529542 is a wasteful number, since it uses less digits than its factorization.

135529542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653 (or 2650 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 135529542 is about 11641.7155952205. The cubic root of 135529542 is about 513.6626526693.

The spelling of 135529542 in words is "one hundred thirty-five million, five hundred twenty-nine thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 181 306 362 543 1086 1629 2447 3077 3258 4894 6154 7341 9231 14682 18462 22023 27693 41599 44046 55386 83198 124797 249594 374391 442907 748782 885814 1328721 2657442 3986163 7529419 7972326 15058838 22588257 45176514 67764771 135529542