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135352776 = 23313317151
BaseRepresentation
bin10000001000101…
…01000111001000
3100102200122002210
420010111013020
5234122242101
621233025120
73232323336
oct1004250710
9312618083
10135352776
116a4485a9
12393b51a0
1322071000
1413d94b56
15bd397d6
hex81151c8

135352776 has 128 divisors (see below), whose sum is σ = 390700800. Its totient is φ = 38937600.

The previous prime is 135352757. The next prime is 135352799. The reversal of 135352776 is 677253531.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 896301 + ... + 896451.

It is an arithmetic number, because the mean of its divisors is an integer number (3052350).

Almost surely, 2135352776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135352776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195350400).

135352776 is an abundant number, since it is smaller than the sum of its proper divisors (255348024).

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

135352776 is a wasteful number, since it uses less digits than its factorization.

135352776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 186 counting only the distinct ones).

The product of its digits is 132300, while the sum is 39.

The square root of 135352776 is about 11634.1211958618. The cubic root of 135352776 is about 513.4392386579.

The spelling of 135352776 in words is "one hundred thirty-five million, three hundred fifty-two thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 151 156 169 204 221 302 312 338 408 442 453 507 604 663 676 884 906 1014 1208 1326 1352 1768 1812 1963 2028 2197 2567 2652 2873 3624 3926 4056 4394 5134 5304 5746 5889 6591 7701 7852 8619 8788 10268 11492 11778 13182 15402 15704 17238 17576 20536 22984 23556 25519 26364 30804 33371 34476 37349 47112 51038 52728 61608 66742 68952 74698 76557 100113 102076 112047 133484 149396 153114 200226 204152 224094 266968 298792 306228 331747 400452 433823 448188 612456 663494 800904 867646 896376 995241 1301469 1326988 1735292 1990482 2602938 2653976 3470584 3980964 5205876 5639699 7961928 10411752 11279398 16919097 22558796 33838194 45117592 67676388 135352776