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135394728 = 23377111351
BaseRepresentation
bin10000001000111…
…11010110101000
3100102202202122120
420010133112220
5234130112403
621233551240
73232556550
oct1004372650
9312682576
10135394728
116a477077
1239415520
1322087131
1413da6160
15bd46e53
hex811f5a8

135394728 has 64 divisors (see below), whose sum is σ = 392325120. Its totient is φ = 38136000.

The previous prime is 135394717. The next prime is 135394747. The reversal of 135394728 is 827493531.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 135394728.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6253 + ... + 17603.

It is an arithmetic number, because the mean of its divisors is an integer number (6130080).

Almost surely, 2135394728 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 135394728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196162560).

135394728 is an abundant number, since it is smaller than the sum of its proper divisors (256930392).

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

135394728 is a wasteful number, since it uses less digits than its factorization.

135394728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11438 (or 11434 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 135394728 is about 11635.9240286279. The cubic root of 135394728 is about 513.4922792593.

The spelling of 135394728 in words is "one hundred thirty-five million, three hundred ninety-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 84 142 168 213 284 426 497 568 852 994 1491 1704 1988 2982 3976 5964 11351 11928 22702 34053 45404 68106 79457 90808 136212 158914 238371 272424 317828 476742 635656 805921 953484 1611842 1906968 2417763 3223684 4835526 5641447 6447368 9671052 11282894 16924341 19342104 22565788 33848682 45131576 67697364 135394728