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135528804 = 223237310093
BaseRepresentation
bin10000001010000…
…00000101100100
3100110000120120100
420011000011210
5234143410204
621240504100
73233655465
oct1005000544
9313016510
10135528804
116a558884
123947b030
1322103178
1413ddcd6c
15bd71a39
hex8140164

135528804 has 36 divisors (see below), whose sum is σ = 343539196. Its totient is φ = 45050688.

The previous prime is 135528797. The next prime is 135528851. The reversal of 135528804 is 408825531.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 71368704 + 64160100 = 8448^2 + 8010^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8382 + ... + 18474.

Almost surely, 2135528804 is an apocalyptic number.

It is an amenable number.

135528804 is an abundant number, since it is smaller than the sum of its proper divisors (208010392).

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

135528804 is a wasteful number, since it uses less digits than its factorization.

135528804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10476 (or 10471 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 135528804 is about 11641.6838988181. The cubic root of 135528804 is about 513.6617203172.

The spelling of 135528804 in words is "one hundred thirty-five million, five hundred twenty-eight thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 373 746 1119 1492 2238 3357 4476 6714 10093 13428 20186 30279 40372 60558 90837 121116 181674 363348 3764689 7529378 11294067 15058756 22588134 33882201 45176268 67764402 135528804