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135604900 = 225219149479
BaseRepresentation
bin10000001010100…
…10101010100100
3100110011102221201
420011102222210
5234203324100
621242252244
73234423364
oct1005225244
9313142851
10135604900
116a5aaa72
12394b7084
132212b9b2
141401c9a4
15bd8936a
hex8152aa4

135604900 has 72 divisors (see below), whose sum is σ = 312480000. Its totient is φ = 50935680.

The previous prime is 135604897. The next prime is 135604901. The reversal of 135604900 is 9406531.

It is not an unprimeable number, because it can be changed into a prime (135604901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282861 + ... + 283339.

It is an arithmetic number, because the mean of its divisors is an integer number (4340000).

Almost surely, 2135604900 is an apocalyptic number.

135604900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135604900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240000).

135604900 is an abundant number, since it is smaller than the sum of its proper divisors (176875100).

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

135604900 is a wasteful number, since it uses less digits than its factorization.

135604900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 135604900 is about 11644.9516959067. The cubic root of 135604900 is about 513.7578383572.

The spelling of 135604900 in words is "one hundred thirty-five million, six hundred four thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 149 190 298 380 475 479 596 745 950 958 1490 1900 1916 2395 2831 2980 3725 4790 5662 7450 9101 9580 11324 11975 14155 14900 18202 23950 28310 36404 45505 47900 56620 70775 71371 91010 141550 142742 182020 227525 283100 285484 356855 455050 713710 910100 1356049 1427420 1784275 2712098 3568550 5424196 6780245 7137100 13560490 27120980 33901225 67802450 135604900