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135907044 = 223713177321
BaseRepresentation
bin10000001100111…
…00011011100100
3100110201210102020
420012130123210
5234243011134
621252543140
73240122310
oct1006343344
9313653366
10135907044
116a796a79
1239621ab0
1322206390
141409ab40
15bde8b49
hex819c6e4

135907044 has 96 divisors (see below), whose sum is σ = 413312256. Its totient is φ = 33730560.

The previous prime is 135907043. The next prime is 135907063. The reversal of 135907044 is 440709531.

It is a junction number, because it is equal to n+sod(n) for n = 135906996 and 135907014.

It is not an unprimeable number, because it can be changed into a prime (135907043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14904 + ... + 22224.

It is an arithmetic number, because the mean of its divisors is an integer number (4305336).

Almost surely, 2135907044 is an apocalyptic number.

135907044 is a gapful number since it is divisible by the number (14) 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 135907044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206656128).

135907044 is an abundant number, since it is smaller than the sum of its proper divisors (277405212).

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

135907044 is a wasteful number, since it uses less digits than its factorization.

135907044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7365 (or 7363 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 135907044 is about 11657.9176528229. The cubic root of 135907044 is about 514.1391266963.

The spelling of 135907044 in words is "one hundred thirty-five million, nine hundred seven thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 17 21 26 28 34 39 42 51 52 68 78 84 91 102 119 156 182 204 221 238 273 357 364 442 476 546 663 714 884 1092 1326 1428 1547 2652 3094 4641 6188 7321 9282 14642 18564 21963 29284 43926 51247 87852 95173 102494 124457 153741 190346 204988 248914 285519 307482 373371 380692 497828 571038 614964 666211 746742 871199 1142076 1332422 1493484 1617941 1742398 1998633 2613597 2664844 3235882 3484796 3997266 4853823 5227194 6471764 7994532 9707646 10454388 11325587 19415292 22651174 33976761 45302348 67953522 135907044