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135674000 = 2453711881
BaseRepresentation
bin10000001011000…
…11100010010000
3100110021221201222
420011203202100
5234213032000
621243544212
73235132010
oct1005434220
9313257658
10135674000
116a647980
123952b068
1322154297
1414039c40
15bd9ea85
hex8163890

135674000 has 160 divisors (see below), whose sum is σ = 409473792. Its totient is φ = 42240000.

The previous prime is 135673999. The next prime is 135674017. The reversal of 135674000 is 476531.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153560 + ... + 154440.

Almost surely, 2135674000 is an apocalyptic number.

135674000 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 135674000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204736896).

135674000 is an abundant number, since it is smaller than the sum of its proper divisors (273799792).

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

135674000 is a wasteful number, since it uses less digits than its factorization.

135674000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 135674000 is about 11647.9182689440. The cubic root of 135674000 is about 513.8450884942.

The spelling of 135674000 in words is "one hundred thirty-five million, six hundred seventy-four thousand".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 40 44 50 55 56 70 77 80 88 100 110 112 125 140 154 175 176 200 220 250 275 280 308 350 385 400 440 500 550 560 616 700 770 875 880 881 1000 1100 1232 1375 1400 1540 1750 1762 1925 2000 2200 2750 2800 3080 3500 3524 3850 4400 4405 5500 6160 6167 7000 7048 7700 8810 9625 9691 11000 12334 14000 14096 15400 17620 19250 19382 22000 22025 24668 30800 30835 35240 38500 38764 44050 48455 49336 61670 67837 70480 77000 77528 88100 96910 98672 110125 123340 135674 154000 154175 155056 176200 193820 220250 242275 246680 271348 308350 339185 352400 387640 440500 484550 493360 542696 616700 678370 770875 775280 881000 969100 1085392 1211375 1233400 1356740 1541750 1695925 1762000 1938200 2422750 2466800 2713480 3083500 3391850 3876400 4845500 5426960 6167000 6783700 8479625 9691000 12334000 13567400 16959250 19382000 27134800 33918500 67837000 135674000