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135245000 = 2354112459
BaseRepresentation
bin10000000111110…
…10110011001000
3100102111011021002
420003322303020
5234110320000
621230434132
73231364202
oct1003726310
9312434232
10135245000
116a384630
1239362948
1322033c37
1413d67772
15bd178d5
hex80facc8

135245000 has 80 divisors (see below), whose sum is σ = 345826800. Its totient is φ = 49160000.

The previous prime is 135244997. The next prime is 135245003. The reversal of 135245000 is 542531.

It is an interprime number because it is at equal distance from previous prime (135244997) and next prime (135245003).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (135245003) 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, 53771 + ... + 56229.

It is an arithmetic number, because the mean of its divisors is an integer number (4322835).

Almost surely, 2135245000 is an apocalyptic number.

135245000 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 135245000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172913400).

135245000 is an abundant number, since it is smaller than the sum of its proper divisors (210581800).

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

135245000 is a wasteful number, since it uses less digits than its factorization.

135245000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 135245000 is about 11629.4883808360. The cubic root of 135245000 is about 513.3029254303.

Adding to 135245000 its reverse (542531), we get a palindrome (135787531).

It can be divided in two parts, 1352 and 45000, that multiplied together give a square (60840000 = 78002).

The spelling of 135245000 in words is "one hundred thirty-five million, two hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 625 1000 1100 1250 1375 2200 2459 2500 2750 4918 5000 5500 6875 9836 11000 12295 13750 19672 24590 27049 27500 49180 54098 55000 61475 98360 108196 122950 135245 216392 245900 270490 307375 491800 540980 614750 676225 1081960 1229500 1352450 1536875 2459000 2704900 3073750 3381125 5409800 6147500 6762250 12295000 13524500 16905625 27049000 33811250 67622500 135245000