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135209712 = 24311256079
BaseRepresentation
bin10000000111100…
…10001011110000
3100102102100212010
420003302023300
5234103202322
621230002520
73231156261
oct1003621360
9312370763
10135209712
116a360070
1239346440
1322020b61
1413d58968
15bd0c20c
hex80f22f0

135209712 has 40 divisors (see below), whose sum is σ = 381047040. Its totient is φ = 40972480.

The previous prime is 135209699. The next prime is 135209717. The reversal of 135209712 is 217902531.

It is a self number, because there is not a number n which added to its sum of digits gives 135209712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135209717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127512 + ... + 128567.

It is an arithmetic number, because the mean of its divisors is an integer number (9526176).

Almost surely, 2135209712 is an apocalyptic number.

135209712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135209712 is an abundant number, since it is smaller than the sum of its proper divisors (245837328).

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

135209712 is a wasteful number, since it uses less digits than its factorization.

135209712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256101 (or 256095 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 135209712 is about 11627.9711041953. The cubic root of 135209712 is about 513.2582780392.

It can be divided in two parts, 13520 and 9712, that added together give a palindrome (23232).

The spelling of 135209712 in words is "one hundred thirty-five million, two hundred nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 256079 512158 768237 1024316 1536474 2048632 2816869 3072948 4097264 5633738 6145896 8450607 11267476 12291792 16901214 22534952 33802428 45069904 67604856 135209712