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135697044 = 2237312412
BaseRepresentation
bin10000001011010…
…01001010010100
3100110100010100110
420011221022110
5234214301134
621244243020
73235256130
oct1005511224
9313303313
10135697044
116a66321a
1239540470
1322161912
14140443c0
15bda67e9
hex8169294

135697044 has 108 divisors (see below), whose sum is σ = 383250336. Its totient is φ = 36604800.

The previous prime is 135697039. The next prime is 135697049. The reversal of 135697044 is 440796531.

135697044 is nontrivially palindromic in base 9.

It is an interprime number because it is at equal distance from previous prime (135697039) and next prime (135697049).

It is a junction number, because it is equal to n+sod(n) for n = 135696993 and 135697011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135697049) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3309664 + ... + 3309704.

Almost surely, 2135697044 is an apocalyptic number.

135697044 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 135697044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191625168).

135697044 is an abundant number, since it is smaller than the sum of its proper divisors (247553292).

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

135697044 is a wasteful number, since it uses less digits than its factorization.

135697044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 135697044 is about 11648.9074165777. The cubic root of 135697044 is about 513.8741787544.

The spelling of 135697044 in words is "one hundred thirty-five million, six hundred ninety-seven thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 41 42 62 82 84 93 123 124 164 186 217 246 287 372 434 492 574 651 861 868 961 1148 1271 1302 1681 1722 1922 2542 2604 2883 3362 3444 3813 3844 5043 5084 5766 6724 6727 7626 8897 10086 11532 11767 13454 15252 17794 20172 20181 23534 26691 26908 35301 35588 39401 40362 47068 52111 53382 70602 78802 80724 104222 106764 118203 141204 156333 157604 208444 236406 275807 312666 364777 472812 551614 625332 729554 827421 1094331 1103228 1459108 1615441 1654842 2188662 3230882 3309684 4377324 4846323 6461764 9692646 11308087 19385292 22616174 33924261 45232348 67848522 135697044