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135251532 = 223413163197
BaseRepresentation
bin10000000111111…
…00011001001100
3100102111111020000
420003330121030
5234111022112
621230524300
73231422223
oct1003743114
9312444200
10135251532
116a389529
1239366690
1322036bc0
1413d69cba
15bd197dc
hex80fc64c

135251532 has 120 divisors (see below), whose sum is σ = 385052976. Its totient is φ = 41150592.

The previous prime is 135251513. The next prime is 135251533. The reversal of 135251532 is 235152531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 135251496 and 135251505.

It is not an unprimeable number, because it can be changed into a prime (135251533) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 686458 + ... + 686654.

Almost surely, 2135251532 is an apocalyptic number.

135251532 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 135251532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192526488).

135251532 is an abundant number, since it is smaller than the sum of its proper divisors (249801444).

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

135251532 is a wasteful number, since it uses less digits than its factorization.

135251532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 378 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 135251532 is about 11629.7692152510. The cubic root of 135251532 is about 513.3111890524.

Subtracting 135251532 from its reverse (235152531), we obtain a palindrome (99900999).

The spelling of 135251532 in words is "one hundred thirty-five million, two hundred fifty-one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 163 197 234 324 326 351 394 468 489 591 652 702 788 978 1053 1182 1404 1467 1773 1956 2106 2119 2364 2561 2934 3546 4212 4238 4401 5122 5319 5868 6357 7092 7683 8476 8802 10244 10638 12714 13203 15366 15957 17604 19071 21276 23049 25428 26406 30732 31914 32111 38142 46098 52812 57213 63828 64222 69147 76284 92196 96333 114426 128444 138294 171639 192666 207441 228852 276588 288999 343278 385332 414882 417443 577998 686556 829764 834886 866997 1155996 1252329 1669772 1733994 2504658 2600991 3467988 3756987 5009316 5201982 7513974 10403964 11270961 15027948 22541922 33812883 45083844 67625766 135251532