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135025024 = 271576719
BaseRepresentation
bin10000000110001…
…01000110000000
3100102001222111211
420003011012000
5234031300044
621222015504
73226456651
oct1003050600
9312058454
10135025024
116a244332
1239277594
1321c87a84
1413d0b528
15bcc2634
hex80c5180

135025024 has 32 divisors (see below), whose sum is σ = 270748800. Its totient is φ = 67072512.

The previous prime is 135025021. The next prime is 135025043. The reversal of 135025024 is 420520531.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 135024986 and 135025004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135025021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16737 + ... + 23455.

It is an arithmetic number, because the mean of its divisors is an integer number (8460900).

Almost surely, 2135025024 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 135025024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135374400).

135025024 is an abundant number, since it is smaller than the sum of its proper divisors (135723776).

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

135025024 is an equidigital number, since it uses as much as digits as its factorization.

135025024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6890 (or 6878 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 135025024 is about 11620.0268502272. The cubic root of 135025024 is about 513.0244786656.

Adding to 135025024 its reverse (420520531), we get a palindrome (555545555).

The spelling of 135025024 in words is "one hundred thirty-five million, twenty-five thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 128 157 314 628 1256 2512 5024 6719 10048 13438 20096 26876 53752 107504 215008 430016 860032 1054883 2109766 4219532 8439064 16878128 33756256 67512512 135025024