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135223680 = 273570429
BaseRepresentation
bin10000000111101…
…01100110000000
3100102110002000110
420003311212000
5234104124210
621230151320
73231245064
oct1003654600
9312402013
10135223680
116a36a609
1239352540
1322027317
1413d5daa4
15bd11420
hex80f5980

135223680 has 64 divisors (see below), whose sum is σ = 431031600. Its totient is φ = 36059136.

The previous prime is 135223679. The next prime is 135223681. The reversal of 135223680 is 86322531.

It is an interprime number because it is at equal distance from previous prime (135223679) and next prime (135223681).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135223681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33295 + ... + 37134.

Almost surely, 2135223680 is an apocalyptic number.

135223680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135223680 is an abundant number, since it is smaller than the sum of its proper divisors (295807920).

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

135223680 is an equidigital number, since it uses as much as digits as its factorization.

135223680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70451 (or 70439 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 135223680 is about 11628.5717093717. The cubic root of 135223680 is about 513.2759516827.

The spelling of 135223680 in words is "one hundred thirty-five million, two hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 70429 140858 211287 281716 352145 422574 563432 704290 845148 1056435 1126864 1408580 1690296 2112870 2253728 2817160 3380592 4225740 4507456 5634320 6761184 8451480 9014912 11268640 13522368 16902960 22537280 27044736 33805920 45074560 67611840 135223680