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135070848 = 27331121719
BaseRepresentation
bin10000000110100…
…00010010000000
3100102011022101000
420003100102000
5234034231343
621223012000
73230040363
oct1003202200
9312138330
10135070848
116a275800
123929a000
1321ca28a3
1413d200da
15bcd0ed3
hex80d0480

135070848 has 384 divisors, whose sum is σ = 488376000. Its totient is φ = 36495360.

The previous prime is 135070843. The next prime is 135070849. The reversal of 135070848 is 848070531.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (135070843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7108983 + ... + 7109001.

Almost surely, 2135070848 is an apocalyptic number.

135070848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135070848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244188000).

135070848 is an abundant number, since it is smaller than the sum of its proper divisors (353305152).

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

135070848 is a wasteful number, since it uses less digits than its factorization.

135070848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 135070848 is about 11621.9984512131. The cubic root of 135070848 is about 513.0825078468.

Adding to 135070848 its sum of digits (36), we get a square (135070884 = 116222).

The spelling of 135070848 in words is "one hundred thirty-five million, seventy thousand, eight hundred forty-eight".