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135135136 = 254222973
BaseRepresentation
bin10000000110111…
…11111110100000
3100102021120120001
420003133332200
5234043311021
621224225344
73230425663
oct1003377640
9312246501
10135135136
116a30a034
123930b254
1321cc5c26
1413d396da
15bce5091
hex80dffa0

135135136 has 12 divisors (see below), whose sum is σ = 266047362. Its totient is φ = 67567552.

The previous prime is 135135113. The next prime is 135135167. The reversal of 135135136 is 631531531.

135135136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 89491600 + 45643536 = 9460^2 + 6756^2 .

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2111455 + ... + 2111518.

Almost surely, 2135135136 is an apocalyptic number.

135135136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135135136 is a deficient number, since it is larger than the sum of its proper divisors (130912226).

135135136 is an equidigital number, since it uses as much as digits as its factorization.

135135136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4222983 (or 4222975 counting only the distinct ones).

The product of its digits is 4050, while the sum is 28.

The square root of 135135136 is about 11624.7639115812. The cubic root of 135135136 is about 513.1638967796.

Adding to 135135136 its reverse (631531531), we get a palindrome (766666667).

The spelling of 135135136 in words is "one hundred thirty-five million, one hundred thirty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 4222973 8445946 16891892 33783784 67567568 135135136