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135207040 = 2751911119
BaseRepresentation
bin10000000111100…
…01100010000000
3100102102020012011
420003301202000
5234103111130
621225542304
73231145423
oct1003614200
9312366164
10135207040
116a359061
1239344994
132201c887
1413d579ba
15bd0b52a
hex80f1880

135207040 has 64 divisors (see below), whose sum is σ = 340272000. Its totient is φ = 51231744.

The previous prime is 135207031. The next prime is 135207067. The reversal of 135207040 is 40702531.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6601 + ... + 17719.

It is an arithmetic number, because the mean of its divisors is an integer number (5316750).

Almost surely, 2135207040 is an apocalyptic number.

135207040 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 135207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170136000).

135207040 is an abundant number, since it is smaller than the sum of its proper divisors (205064960).

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

135207040 is a wasteful number, since it uses less digits than its factorization.

135207040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11157 (or 11145 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 135207040 is about 11627.8562082613. The cubic root of 135207040 is about 513.2548970316.

Adding to 135207040 its reverse (40702531), we get a palindrome (175909571).

The spelling of 135207040 in words is "one hundred thirty-five million, two hundred seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 608 640 760 1216 1520 2432 3040 6080 11119 12160 22238 44476 55595 88952 111190 177904 211261 222380 355808 422522 444760 711616 845044 889520 1056305 1423232 1690088 1779040 2112610 3380176 3558080 4225220 6760352 7116160 8450440 13520704 16900880 27041408 33801760 67603520 135207040