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135495100 = 225213176131
BaseRepresentation
bin10000001001101…
…11110110111100
3100102221212100001
420010313312330
5234141320400
621240044044
73233455306
oct1004676674
9312855301
10135495100
116a535524
1239463624
13220c0a20
1413dd0976
15bd66a6a
hex8137dbc

135495100 has 72 divisors (see below), whose sum is σ = 335322288. Its totient is φ = 47078400.

The previous prime is 135495097. The next prime is 135495103. The reversal of 135495100 is 1594531.

It is an interprime number because it is at equal distance from previous prime (135495097) and next prime (135495103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135495103) 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, 19035 + ... + 25165.

It is an arithmetic number, because the mean of its divisors is an integer number (4657254).

Almost surely, 2135495100 is an apocalyptic number.

135495100 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 135495100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167661144).

135495100 is an abundant number, since it is smaller than the sum of its proper divisors (199827188).

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

135495100 is a wasteful number, since it uses less digits than its factorization.

135495100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6175 (or 6168 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 135495100 is about 11640.2362518980. The cubic root of 135495100 is about 513.6191367743.

The spelling of 135495100 in words is "one hundred thirty-five million, four hundred ninety-five thousand, one hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 85 100 130 170 221 260 325 340 425 442 650 850 884 1105 1300 1700 2210 4420 5525 6131 11050 12262 22100 24524 30655 61310 79703 104227 122620 153275 159406 208454 306550 318812 398515 416908 521135 613100 797030 1042270 1354951 1594060 1992575 2084540 2605675 2709902 3985150 5211350 5419804 6774755 7970300 10422700 13549510 27099020 33873775 67747550 135495100