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135160000 = 265431109
BaseRepresentation
bin10000000111001…
…10000011000000
3100102022211122221
420003212003000
5234100110000
621224540424
73230561323
oct1003460300
9312284587
10135160000
116a326788
1239321714
1322004341
1413d447ba
15bcec61a
hex80e60c0

135160000 has 140 divisors (see below), whose sum is σ = 349138240. Its totient is φ = 51840000.

The previous prime is 135159989. The next prime is 135160007. The reversal of 135160000 is 61531.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135160007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1239946 + ... + 1240054.

Almost surely, 2135160000 is an apocalyptic number.

135160000 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 135160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174569120).

135160000 is an abundant number, since it is smaller than the sum of its proper divisors (213978240).

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

135160000 is an equidigital number, since it uses as much as digits as its factorization.

135160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 135160000 is about 11625.8333034669. The cubic root of 135160000 is about 513.1953678069.

The spelling of 135160000 in words is "one hundred thirty-five million, one hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 109 124 125 155 160 200 218 248 250 310 320 400 436 496 500 545 620 625 775 800 872 992 1000 1090 1240 1250 1550 1600 1744 1984 2000 2180 2480 2500 2725 3100 3379 3488 3875 4000 4360 4960 5000 5450 6200 6758 6976 7750 8000 8720 9920 10000 10900 12400 13516 13625 15500 16895 17440 19375 20000 21800 24800 27032 27250 31000 33790 34880 38750 40000 43600 49600 54064 54500 62000 67580 68125 77500 84475 87200 108128 109000 124000 135160 136250 155000 168950 174400 216256 218000 248000 270320 272500 310000 337900 422375 436000 540640 545000 620000 675800 844750 872000 1081280 1090000 1240000 1351600 1689500 2111875 2180000 2703200 3379000 4223750 4360000 5406400 6758000 8447500 13516000 16895000 27032000 33790000 67580000 135160000