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135635214 = 231113172547
BaseRepresentation
bin10000001010110…
…10000100001110
3100110012222112110
420011122010032
5234210311324
621243044450
73234610641
oct1005320416
9313188473
10135635214
116a620820
1239510726
132213c730
1414029a58
15bd93329
hex815a10e

135635214 has 96 divisors (see below), whose sum is σ = 339163776. Its totient is φ = 35642880.

The previous prime is 135635207. The next prime is 135635219. The reversal of 135635214 is 412536531.

It is a super-2 number, since 2×1356352142 = 36793822553651592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135635219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247689 + ... + 248235.

It is an arithmetic number, because the mean of its divisors is an integer number (3532956).

Almost surely, 2135635214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135635214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169581888).

135635214 is an abundant number, since it is smaller than the sum of its proper divisors (203528562).

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

135635214 is a wasteful number, since it uses less digits than its factorization.

135635214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 593 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 135635214 is about 11646.2532172369. The cubic root of 135635214 is about 513.7961184261.

The spelling of 135635214 in words is "one hundred thirty-five million, six hundred thirty-five thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 13 17 22 26 33 34 39 51 66 78 102 143 187 221 286 289 374 429 442 547 561 578 663 858 867 1094 1122 1326 1641 1734 2431 3179 3282 3757 4862 6017 6358 7111 7293 7514 9299 9537 11271 12034 14222 14586 18051 18598 19074 21333 22542 27897 36102 41327 42666 55794 78221 82654 102289 120887 123981 156442 158083 204578 234663 241774 247962 306867 316166 362661 469326 474249 613734 725322 948498 1329757 1738913 2055079 2659514 3477826 3989271 4110158 5216739 6165237 7978542 10433478 12330474 22605869 45211738 67817607 135635214