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135321900 = 22352764439
BaseRepresentation
bin10000001000011…
…01100100101100
3100102122001202020
420010031210230
5234120300100
621232230140
73232134330
oct1004154454
9312561666
10135321900
116a42738a
123939b350
132205cc3c
1413d877c0
15bd305a0
hex810d92c

135321900 has 72 divisors (see below), whose sum is σ = 447471360. Its totient is φ = 30930240.

The previous prime is 135321899. The next prime is 135321947. The reversal of 135321900 is 9123531.

It is a happy number.

It is a super-2 number, since 2×1353219002 = 36624033239220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30120 + ... + 34319.

It is an arithmetic number, because the mean of its divisors is an integer number (6214880).

Almost surely, 2135321900 is an apocalyptic number.

135321900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135321900 is an abundant number, since it is smaller than the sum of its proper divisors (312149460).

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

135321900 is a wasteful number, since it uses less digits than its factorization.

135321900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64463 (or 64456 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 135321900 is about 11632.7941613354. The cubic root of 135321900 is about 513.4001946230.

The spelling of 135321900 in words is "one hundred thirty-five million, three hundred twenty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 64439 128878 193317 257756 322195 386634 451073 644390 773268 902146 966585 1288780 1353219 1610975 1804292 1933170 2255365 2706438 3221950 3866340 4510730 4832925 5412876 6443900 6766095 9021460 9665850 11276825 13532190 19331700 22553650 27064380 33830475 45107300 67660950 135321900