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135078900 = 223521140933
BaseRepresentation
bin10000000110100…
…10001111110100
3100102011201102020
420003102033310
5234040011100
621223113140
73230103015
oct1003221764
9312151366
10135078900
116a280860
12392a27b0
1321ca6458
1413d2300c
15bcd35a0
hex80d23f4

135078900 has 72 divisors (see below), whose sum is σ = 426368544. Its totient is φ = 32745600.

The previous prime is 135078899. The next prime is 135078989. The reversal of 135078900 is 9870531.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 17167 + ... + 23766.

Almost surely, 2135078900 is an apocalyptic number.

135078900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135078900 is an abundant number, since it is smaller than the sum of its proper divisors (291289644).

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

135078900 is a wasteful number, since it uses less digits than its factorization.

135078900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40961 (or 40954 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 135078900 is about 11622.3448580740. The cubic root of 135078900 is about 513.0927031340.

The spelling of 135078900 in words is "one hundred thirty-five million, seventy-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 40933 81866 122799 163732 204665 245598 409330 450263 491196 613995 818660 900526 1023325 1227990 1350789 1801052 2046650 2251315 2455980 2701578 3069975 4093300 4502630 5403156 6139950 6753945 9005260 11256575 12279900 13507890 22513150 27015780 33769725 45026300 67539450 135078900