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135404676 = 223311293389
BaseRepresentation
bin10000001001000…
…01110010000100
3100102210021022000
420010201302010
5234130422201
621234105300
73232630551
oct1004416204
9312707260
10135404676
116a4835a0
123941b230
132208b814
1413da9a28
15bd49d86
hex8121c84

135404676 has 96 divisors (see below), whose sum is σ = 385257600. Its totient is φ = 40786560.

The previous prime is 135404669. The next prime is 135404681. The reversal of 135404676 is 676404531.

It is a happy number.

135404676 is a `hidden beast` number, since 1 + 3 + 540 + 46 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 135404676.

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, 347890 + ... + 348278.

It is an arithmetic number, because the mean of its divisors is an integer number (4013100).

Almost surely, 2135404676 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 135404676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192628800).

135404676 is an abundant number, since it is smaller than the sum of its proper divisors (249852924).

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

135404676 is a wasteful number, since it uses less digits than its factorization.

135404676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 135404676 is about 11636.3514900505. The cubic root of 135404676 is about 513.5048550717.

The spelling of 135404676 in words is "one hundred thirty-five million, four hundred four thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 293 297 389 396 586 594 778 879 1167 1172 1188 1556 1758 2334 2637 3223 3501 3516 4279 4668 5274 6446 7002 7911 8558 9669 10503 10548 12837 12892 14004 15822 17116 19338 21006 25674 29007 31644 38511 38676 42012 51348 58014 77022 87021 113977 115533 116028 154044 174042 227954 231066 341931 348084 455908 462132 683862 1025793 1253747 1367724 2051586 2507494 3077379 3761241 4103172 5014988 6154758 7522482 11283723 12309516 15044964 22567446 33851169 45134892 67702338 135404676