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135553140 = 223253791987
BaseRepresentation
bin10000001010001…
…10000001110100
3100110001210221200
420011012001310
5234200200030
621241212500
73234116442
oct1005060164
9313053850
10135553140
116a575098
1239491130
1322111278
1414007b92
15bd78d60
hex8146074

135553140 has 72 divisors (see below), whose sum is σ = 412470240. Its totient is φ = 36033984.

The previous prime is 135553097. The next prime is 135553147. The reversal of 135553140 is 41355531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135553147) 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, 67227 + ... + 69213.

Almost surely, 2135553140 is an apocalyptic number.

135553140 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 135553140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206235120).

135553140 is an abundant number, since it is smaller than the sum of its proper divisors (276917100).

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

135553140 is a wasteful number, since it uses less digits than its factorization.

135553140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 135553140 is about 11642.7290615216. The cubic root of 135553140 is about 513.6924634093.

The spelling of 135553140 in words is "one hundred thirty-five million, five hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 379 758 1137 1516 1895 1987 2274 3411 3790 3974 4548 5685 5961 6822 7580 7948 9935 11370 11922 13644 17055 17883 19870 22740 23844 29805 34110 35766 39740 59610 68220 71532 89415 119220 178830 357660 753073 1506146 2259219 3012292 3765365 4518438 6777657 7530730 9036876 11296095 13555314 15061460 22592190 27110628 33888285 45184380 67776570 135553140