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135283008 = 26371731191
BaseRepresentation
bin10000001000001…
…00000101000000
3100102120002101210
420010010011000
5234113024013
621231330120
73231613050
oct1004040500
9312502353
10135283008
116a400143
1239380940
1322048323
1413d77560
15bd23cc3
hex8104140

135283008 has 224 divisors, whose sum is σ = 449445888. Its totient is φ = 35020800.

The previous prime is 135283003. The next prime is 135283037. The reversal of 135283008 is 800382531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135283003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 708193 + ... + 708383.

Almost surely, 2135283008 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 135283008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224722944).

135283008 is an abundant number, since it is smaller than the sum of its proper divisors (314162880).

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

135283008 is a wasteful number, since it uses less digits than its factorization.

135283008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 135283008 is about 11631.1223878008. The cubic root of 135283008 is about 513.3510055572.

The spelling of 135283008 in words is "one hundred thirty-five million, two hundred eighty-three thousand, eight".