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135080192 = 2813371097
BaseRepresentation
bin10000000110100…
…10100100000000
3100102011210012002
420003102210000
5234040031232
621223123132
73230106542
oct1003224400
9312153162
10135080192
116a281825
12392a34a8
1321ca6c10
1413d23692
15bcd3b62
hex80d2900

135080192 has 72 divisors (see below), whose sum is σ = 298493496. Its totient is φ = 60604416.

The previous prime is 135080167. The next prime is 135080203. The reversal of 135080192 is 291080531.

It can be written as a sum of positive squares in 4 ways, for example, as 12845056 + 122235136 = 3584^2 + 11056^2 .

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 7 ways as a sum of consecutive naturals, for example, 122588 + ... + 123684.

It is an arithmetic number, because the mean of its divisors is an integer number (4145743).

Almost surely, 2135080192 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 135080192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149246748).

135080192 is an abundant number, since it is smaller than the sum of its proper divisors (163413304).

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

135080192 is a wasteful number, since it uses less digits than its factorization.

135080192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 135080192 is about 11622.4004405286. The cubic root of 135080192 is about 513.0943390018.

The spelling of 135080192 in words is "one hundred thirty-five million, eighty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 208 256 296 416 481 592 832 962 1097 1184 1664 1924 2194 2368 3328 3848 4388 4736 7696 8776 9472 14261 15392 17552 28522 30784 35104 40589 57044 61568 70208 81178 114088 123136 140416 162356 228176 280832 324712 456352 527657 649424 912704 1055314 1298848 1825408 2110628 2597696 3650816 4221256 5195392 8442512 10390784 16885024 33770048 67540096 135080192