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135069636 = 223131396229
BaseRepresentation
bin10000000110011…
…11111111000100
3100102011020201010
420003033333010
5234034212021
621223002220
73230034012
oct1003177704
9312136633
10135069636
116a2748a9
1239299370
1321ca2180
1413d1d8b2
15bcd0976
hex80cffc4

135069636 has 48 divisors (see below), whose sum is σ = 341902400. Its totient is φ = 41254272.

The previous prime is 135069629. The next prime is 135069667. The reversal of 135069636 is 636960531.

135069636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 135069594 and 135069603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18570 + ... + 24798.

Almost surely, 2135069636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135069636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170951200).

135069636 is an abundant number, since it is smaller than the sum of its proper divisors (206832764).

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

135069636 is a wasteful number, since it uses less digits than its factorization.

135069636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6388 (or 6386 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 39.

The square root of 135069636 is about 11621.9463086008. The cubic root of 135069636 is about 513.0809732007.

The spelling of 135069636 in words is "one hundred thirty-five million, sixty-nine thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 139 156 278 417 556 834 1668 1807 3614 5421 6229 7228 10842 12458 18687 21684 24916 37374 74748 80977 161954 242931 323908 485862 865831 971724 1731662 2597493 3463324 5194986 10389972 11255803 22511606 33767409 45023212 67534818 135069636